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Simplifying -1(5x + -2) + -1(3x + -3) + 2 = 8(x + -7) + -1(2x + 4) + 3 Reorder the terms: -1(-2 + 5x) + -1(3x + -3) + 2 = 8(x + -7) + -1(2x + 4) + 3 (-2 * -1 + 5x * -1) + -1(3x + -3) + 2 = 8(x + -7) + -1(2x + 4) + 3 (2 + -5x) + -1(3x + -3) + 2 = 8(x + -7) + -1(2x + 4) + 3 Reorder the terms: 2 + -5x + -1(-3 + 3x) + 2 = 8(x + -7) + -1(2x + 4) + 3 2 + -5x + (-3 * -1 + 3x * -1) + 2 = 8(x + -7) + -1(2x + 4) + 3 2 + -5x + (3 + -3x) + 2 = 8(x + -7) + -1(2x + 4) + 3 Reorder the terms: 2 + 3 + 2 + -5x + -3x = 8(x + -7) + -1(2x + 4) + 3 Combine like terms: 2 + 3 = 5 5 + 2 + -5x + -3x = 8(x + -7) + -1(2x + 4) + 3 Combine like terms: 5 + 2 = 7 7 + -5x + -3x = 8(x + -7) + -1(2x + 4) + 3 Combine like terms: -5x + -3x = -8x 7 + -8x = 8(x + -7) + -1(2x + 4) + 3 Reorder the terms: 7 + -8x = 8(-7 + x) + -1(2x + 4) + 3 7 + -8x = (-7 * 8 + x * 8) + -1(2x + 4) + 3 7 + -8x = (-56 + 8x) + -1(2x + 4) + 3 Reorder the terms: 7 + -8x = -56 + 8x + -1(4 + 2x) + 3 7 + -8x = -56 + 8x + (4 * -1 + 2x * -1) + 3 7 + -8x = -56 + 8x + (-4 + -2x) + 3 Reorder the terms: 7 + -8x = -56 + -4 + 3 + 8x + -2x Combine like terms: -56 + -4 = -60 7 + -8x = -60 + 3 + 8x + -2x Combine like terms: -60 + 3 = -57 7 + -8x = -57 + 8x + -2x Combine like terms: 8x + -2x = 6x 7 + -8x = -57 + 6x Solving 7 + -8x = -57 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + -8x + -6x = -57 + 6x + -6x Combine like terms: -8x + -6x = -14x 7 + -14x = -57 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -14x = -57 + 0 7 + -14x = -57 Add '-7' to each side of the equation. 7 + -7 + -14x = -57 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = -57 + -7 -14x = -57 + -7 Combine like terms: -57 + -7 = -64 -14x = -64 Divide each side by '-14'. x = 4.571428571 Simplifying x = 4.571428571
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