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Simplifying -1(2 + 4x) + 5(3 + -1x) = -5(1 + x) (2 * -1 + 4x * -1) + 5(3 + -1x) = -5(1 + x) (-2 + -4x) + 5(3 + -1x) = -5(1 + x) -2 + -4x + (3 * 5 + -1x * 5) = -5(1 + x) -2 + -4x + (15 + -5x) = -5(1 + x) Reorder the terms: -2 + 15 + -4x + -5x = -5(1 + x) Combine like terms: -2 + 15 = 13 13 + -4x + -5x = -5(1 + x) Combine like terms: -4x + -5x = -9x 13 + -9x = -5(1 + x) 13 + -9x = (1 * -5 + x * -5) 13 + -9x = (-5 + -5x) Solving 13 + -9x = -5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 13 + -9x + 5x = -5 + -5x + 5x Combine like terms: -9x + 5x = -4x 13 + -4x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + -4x = -5 + 0 13 + -4x = -5 Add '-13' to each side of the equation. 13 + -13 + -4x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = -5 + -13 -4x = -5 + -13 Combine like terms: -5 + -13 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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