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Simplifying 7(1 + -2x) + -1(4x + 3) = 5x + -8(2x + -4) (1 * 7 + -2x * 7) + -1(4x + 3) = 5x + -8(2x + -4) (7 + -14x) + -1(4x + 3) = 5x + -8(2x + -4) Reorder the terms: 7 + -14x + -1(3 + 4x) = 5x + -8(2x + -4) 7 + -14x + (3 * -1 + 4x * -1) = 5x + -8(2x + -4) 7 + -14x + (-3 + -4x) = 5x + -8(2x + -4) Reorder the terms: 7 + -3 + -14x + -4x = 5x + -8(2x + -4) Combine like terms: 7 + -3 = 4 4 + -14x + -4x = 5x + -8(2x + -4) Combine like terms: -14x + -4x = -18x 4 + -18x = 5x + -8(2x + -4) Reorder the terms: 4 + -18x = 5x + -8(-4 + 2x) 4 + -18x = 5x + (-4 * -8 + 2x * -8) 4 + -18x = 5x + (32 + -16x) Reorder the terms: 4 + -18x = 32 + 5x + -16x Combine like terms: 5x + -16x = -11x 4 + -18x = 32 + -11x Solving 4 + -18x = 32 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 4 + -18x + 11x = 32 + -11x + 11x Combine like terms: -18x + 11x = -7x 4 + -7x = 32 + -11x + 11x Combine like terms: -11x + 11x = 0 4 + -7x = 32 + 0 4 + -7x = 32 Add '-4' to each side of the equation. 4 + -4 + -7x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 32 + -4 -7x = 32 + -4 Combine like terms: 32 + -4 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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