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Simplifying 3(x + -2) + -8(x + -3) = 2(x + -1) + 7 Reorder the terms: 3(-2 + x) + -8(x + -3) = 2(x + -1) + 7 (-2 * 3 + x * 3) + -8(x + -3) = 2(x + -1) + 7 (-6 + 3x) + -8(x + -3) = 2(x + -1) + 7 Reorder the terms: -6 + 3x + -8(-3 + x) = 2(x + -1) + 7 -6 + 3x + (-3 * -8 + x * -8) = 2(x + -1) + 7 -6 + 3x + (24 + -8x) = 2(x + -1) + 7 Reorder the terms: -6 + 24 + 3x + -8x = 2(x + -1) + 7 Combine like terms: -6 + 24 = 18 18 + 3x + -8x = 2(x + -1) + 7 Combine like terms: 3x + -8x = -5x 18 + -5x = 2(x + -1) + 7 Reorder the terms: 18 + -5x = 2(-1 + x) + 7 18 + -5x = (-1 * 2 + x * 2) + 7 18 + -5x = (-2 + 2x) + 7 Reorder the terms: 18 + -5x = -2 + 7 + 2x Combine like terms: -2 + 7 = 5 18 + -5x = 5 + 2x Solving 18 + -5x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + -5x + -2x = 5 + 2x + -2x Combine like terms: -5x + -2x = -7x 18 + -7x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -7x = 5 + 0 18 + -7x = 5 Add '-18' to each side of the equation. 18 + -18 + -7x = 5 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = 5 + -18 -7x = 5 + -18 Combine like terms: 5 + -18 = -13 -7x = -13 Divide each side by '-7'. x = 1.857142857 Simplifying x = 1.857142857
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