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Simplifying -1(2x + -3) + -1(2x + -6) + 5 = -6(x + -1) + -1(2x + -7) + 3 Reorder the terms: -1(-3 + 2x) + -1(2x + -6) + 5 = -6(x + -1) + -1(2x + -7) + 3 (-3 * -1 + 2x * -1) + -1(2x + -6) + 5 = -6(x + -1) + -1(2x + -7) + 3 (3 + -2x) + -1(2x + -6) + 5 = -6(x + -1) + -1(2x + -7) + 3 Reorder the terms: 3 + -2x + -1(-6 + 2x) + 5 = -6(x + -1) + -1(2x + -7) + 3 3 + -2x + (-6 * -1 + 2x * -1) + 5 = -6(x + -1) + -1(2x + -7) + 3 3 + -2x + (6 + -2x) + 5 = -6(x + -1) + -1(2x + -7) + 3 Reorder the terms: 3 + 6 + 5 + -2x + -2x = -6(x + -1) + -1(2x + -7) + 3 Combine like terms: 3 + 6 = 9 9 + 5 + -2x + -2x = -6(x + -1) + -1(2x + -7) + 3 Combine like terms: 9 + 5 = 14 14 + -2x + -2x = -6(x + -1) + -1(2x + -7) + 3 Combine like terms: -2x + -2x = -4x 14 + -4x = -6(x + -1) + -1(2x + -7) + 3 Reorder the terms: 14 + -4x = -6(-1 + x) + -1(2x + -7) + 3 14 + -4x = (-1 * -6 + x * -6) + -1(2x + -7) + 3 14 + -4x = (6 + -6x) + -1(2x + -7) + 3 Reorder the terms: 14 + -4x = 6 + -6x + -1(-7 + 2x) + 3 14 + -4x = 6 + -6x + (-7 * -1 + 2x * -1) + 3 14 + -4x = 6 + -6x + (7 + -2x) + 3 Reorder the terms: 14 + -4x = 6 + 7 + 3 + -6x + -2x Combine like terms: 6 + 7 = 13 14 + -4x = 13 + 3 + -6x + -2x Combine like terms: 13 + 3 = 16 14 + -4x = 16 + -6x + -2x Combine like terms: -6x + -2x = -8x 14 + -4x = 16 + -8x Solving 14 + -4x = 16 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 14 + -4x + 8x = 16 + -8x + 8x Combine like terms: -4x + 8x = 4x 14 + 4x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 14 + 4x = 16 + 0 14 + 4x = 16 Add '-14' to each side of the equation. 14 + -14 + 4x = 16 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 16 + -14 4x = 16 + -14 Combine like terms: 16 + -14 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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