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Simplifying (2 + -1x) + -7(x + -1) = 4(2x + -4) + -3(3x + -2) Remove parenthesis around (2 + -1x) 2 + -1x + -7(x + -1) = 4(2x + -4) + -3(3x + -2) Reorder the terms: 2 + -1x + -7(-1 + x) = 4(2x + -4) + -3(3x + -2) 2 + -1x + (-1 * -7 + x * -7) = 4(2x + -4) + -3(3x + -2) 2 + -1x + (7 + -7x) = 4(2x + -4) + -3(3x + -2) Reorder the terms: 2 + 7 + -1x + -7x = 4(2x + -4) + -3(3x + -2) Combine like terms: 2 + 7 = 9 9 + -1x + -7x = 4(2x + -4) + -3(3x + -2) Combine like terms: -1x + -7x = -8x 9 + -8x = 4(2x + -4) + -3(3x + -2) Reorder the terms: 9 + -8x = 4(-4 + 2x) + -3(3x + -2) 9 + -8x = (-4 * 4 + 2x * 4) + -3(3x + -2) 9 + -8x = (-16 + 8x) + -3(3x + -2) Reorder the terms: 9 + -8x = -16 + 8x + -3(-2 + 3x) 9 + -8x = -16 + 8x + (-2 * -3 + 3x * -3) 9 + -8x = -16 + 8x + (6 + -9x) Reorder the terms: 9 + -8x = -16 + 6 + 8x + -9x Combine like terms: -16 + 6 = -10 9 + -8x = -10 + 8x + -9x Combine like terms: 8x + -9x = -1x 9 + -8x = -10 + -1x Solving 9 + -8x = -10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + -8x + x = -10 + -1x + x Combine like terms: -8x + x = -7x 9 + -7x = -10 + -1x + x Combine like terms: -1x + x = 0 9 + -7x = -10 + 0 9 + -7x = -10 Add '-9' to each side of the equation. 9 + -9 + -7x = -10 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = -10 + -9 -7x = -10 + -9 Combine like terms: -10 + -9 = -19 -7x = -19 Divide each side by '-7'. x = 2.714285714 Simplifying x = 2.714285714
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