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Simplifying -3x + 68 + -7(x + -1) = 8x + -1(2x + -2) + -6x + 3 Reorder the terms: -3x + 68 + -7(-1 + x) = 8x + -1(2x + -2) + -6x + 3 -3x + 68 + (-1 * -7 + x * -7) = 8x + -1(2x + -2) + -6x + 3 -3x + 68 + (7 + -7x) = 8x + -1(2x + -2) + -6x + 3 Reorder the terms: 68 + 7 + -3x + -7x = 8x + -1(2x + -2) + -6x + 3 Combine like terms: 68 + 7 = 75 75 + -3x + -7x = 8x + -1(2x + -2) + -6x + 3 Combine like terms: -3x + -7x = -10x 75 + -10x = 8x + -1(2x + -2) + -6x + 3 Reorder the terms: 75 + -10x = 8x + -1(-2 + 2x) + -6x + 3 75 + -10x = 8x + (-2 * -1 + 2x * -1) + -6x + 3 75 + -10x = 8x + (2 + -2x) + -6x + 3 Reorder the terms: 75 + -10x = 2 + 3 + 8x + -2x + -6x Combine like terms: 2 + 3 = 5 75 + -10x = 5 + 8x + -2x + -6x Combine like terms: 8x + -2x = 6x 75 + -10x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 75 + -10x = 5 + 0 75 + -10x = 5 Solving 75 + -10x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -10x = 5 + -75 Combine like terms: 75 + -75 = 0 0 + -10x = 5 + -75 -10x = 5 + -75 Combine like terms: 5 + -75 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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