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Simplifying 4x + -1(3x + -7) + -1(2x + -3) = 8(x + -1) Reorder the terms: 4x + -1(-7 + 3x) + -1(2x + -3) = 8(x + -1) 4x + (-7 * -1 + 3x * -1) + -1(2x + -3) = 8(x + -1) 4x + (7 + -3x) + -1(2x + -3) = 8(x + -1) Reorder the terms: 4x + 7 + -3x + -1(-3 + 2x) = 8(x + -1) 4x + 7 + -3x + (-3 * -1 + 2x * -1) = 8(x + -1) 4x + 7 + -3x + (3 + -2x) = 8(x + -1) Reorder the terms: 7 + 3 + 4x + -3x + -2x = 8(x + -1) Combine like terms: 7 + 3 = 10 10 + 4x + -3x + -2x = 8(x + -1) Combine like terms: 4x + -3x = 1x 10 + 1x + -2x = 8(x + -1) Combine like terms: 1x + -2x = -1x 10 + -1x = 8(x + -1) Reorder the terms: 10 + -1x = 8(-1 + x) 10 + -1x = (-1 * 8 + x * 8) 10 + -1x = (-8 + 8x) Solving 10 + -1x = -8 + 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. 10 + -1x + -8x = -8 + 8x + -8x Combine like terms: -1x + -8x = -9x 10 + -9x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -9x = -8 + 0 10 + -9x = -8 Add '-10' to each side of the equation. 10 + -10 + -9x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = -8 + -10 -9x = -8 + -10 Combine like terms: -8 + -10 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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