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Simplifying 2(5 + -1x) + -1(2)(x + -3) = -1(3x + -4) (5 * 2 + -1x * 2) + -1(2)(x + -3) = -1(3x + -4) (10 + -2x) + -1(2)(x + -3) = -1(3x + -4) Reorder the terms: 10 + -2x + -1 * 2(-3 + x) = -1(3x + -4) Multiply -1 * 2 10 + -2x + -2(-3 + x) = -1(3x + -4) 10 + -2x + (-3 * -2 + x * -2) = -1(3x + -4) 10 + -2x + (6 + -2x) = -1(3x + -4) Reorder the terms: 10 + 6 + -2x + -2x = -1(3x + -4) Combine like terms: 10 + 6 = 16 16 + -2x + -2x = -1(3x + -4) Combine like terms: -2x + -2x = -4x 16 + -4x = -1(3x + -4) Reorder the terms: 16 + -4x = -1(-4 + 3x) 16 + -4x = (-4 * -1 + 3x * -1) 16 + -4x = (4 + -3x) Solving 16 + -4x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 16 + -4x + 3x = 4 + -3x + 3x Combine like terms: -4x + 3x = -1x 16 + -1x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + -1x = 4 + 0 16 + -1x = 4 Add '-16' to each side of the equation. 16 + -16 + -1x = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 4 + -16 -1x = 4 + -16 Combine like terms: 4 + -16 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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