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Simplifying 3(2x + -5) + -4(x + -2) = 5(x + -8) Reorder the terms: 3(-5 + 2x) + -4(x + -2) = 5(x + -8) (-5 * 3 + 2x * 3) + -4(x + -2) = 5(x + -8) (-15 + 6x) + -4(x + -2) = 5(x + -8) Reorder the terms: -15 + 6x + -4(-2 + x) = 5(x + -8) -15 + 6x + (-2 * -4 + x * -4) = 5(x + -8) -15 + 6x + (8 + -4x) = 5(x + -8) Reorder the terms: -15 + 8 + 6x + -4x = 5(x + -8) Combine like terms: -15 + 8 = -7 -7 + 6x + -4x = 5(x + -8) Combine like terms: 6x + -4x = 2x -7 + 2x = 5(x + -8) Reorder the terms: -7 + 2x = 5(-8 + x) -7 + 2x = (-8 * 5 + x * 5) -7 + 2x = (-40 + 5x) Solving -7 + 2x = -40 + 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. -7 + 2x + -5x = -40 + 5x + -5x Combine like terms: 2x + -5x = -3x -7 + -3x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -3x = -40 + 0 -7 + -3x = -40 Add '7' to each side of the equation. -7 + 7 + -3x = -40 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -40 + 7 -3x = -40 + 7 Combine like terms: -40 + 7 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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