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Simplifying 3(x + -2) + -2(5 + -1x) + -5(x + -4) = 4(x + -10) Reorder the terms: 3(-2 + x) + -2(5 + -1x) + -5(x + -4) = 4(x + -10) (-2 * 3 + x * 3) + -2(5 + -1x) + -5(x + -4) = 4(x + -10) (-6 + 3x) + -2(5 + -1x) + -5(x + -4) = 4(x + -10) -6 + 3x + (5 * -2 + -1x * -2) + -5(x + -4) = 4(x + -10) -6 + 3x + (-10 + 2x) + -5(x + -4) = 4(x + -10) Reorder the terms: -6 + 3x + -10 + 2x + -5(-4 + x) = 4(x + -10) -6 + 3x + -10 + 2x + (-4 * -5 + x * -5) = 4(x + -10) -6 + 3x + -10 + 2x + (20 + -5x) = 4(x + -10) Reorder the terms: -6 + -10 + 20 + 3x + 2x + -5x = 4(x + -10) Combine like terms: -6 + -10 = -16 -16 + 20 + 3x + 2x + -5x = 4(x + -10) Combine like terms: -16 + 20 = 4 4 + 3x + 2x + -5x = 4(x + -10) Combine like terms: 3x + 2x = 5x 4 + 5x + -5x = 4(x + -10) Combine like terms: 5x + -5x = 0 4 + 0 = 4(x + -10) 4 = 4(x + -10) Reorder the terms: 4 = 4(-10 + x) 4 = (-10 * 4 + x * 4) 4 = (-40 + 4x) Solving 4 = -40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + -4x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -4x = -40 + 0 4 + -4x = -40 Add '-4' to each side of the equation. 4 + -4 + -4x = -40 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -40 + -4 -4x = -40 + -4 Combine like terms: -40 + -4 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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