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Simplifying -4(x + -2) = 5(3x + -8) Reorder the terms: -4(-2 + x) = 5(3x + -8) (-2 * -4 + x * -4) = 5(3x + -8) (8 + -4x) = 5(3x + -8) Reorder the terms: 8 + -4x = 5(-8 + 3x) 8 + -4x = (-8 * 5 + 3x * 5) 8 + -4x = (-40 + 15x) Solving 8 + -4x = -40 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8 + -4x + -15x = -40 + 15x + -15x Combine like terms: -4x + -15x = -19x 8 + -19x = -40 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + -19x = -40 + 0 8 + -19x = -40 Add '-8' to each side of the equation. 8 + -8 + -19x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -19x = -40 + -8 -19x = -40 + -8 Combine like terms: -40 + -8 = -48 -19x = -48 Divide each side by '-19'. x = 2.526315789 Simplifying x = 2.526315789
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