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Simplifying 5(x + -8) + 7(4 + -2x) = -10(x + 4) + 3 Reorder the terms: 5(-8 + x) + 7(4 + -2x) = -10(x + 4) + 3 (-8 * 5 + x * 5) + 7(4 + -2x) = -10(x + 4) + 3 (-40 + 5x) + 7(4 + -2x) = -10(x + 4) + 3 -40 + 5x + (4 * 7 + -2x * 7) = -10(x + 4) + 3 -40 + 5x + (28 + -14x) = -10(x + 4) + 3 Reorder the terms: -40 + 28 + 5x + -14x = -10(x + 4) + 3 Combine like terms: -40 + 28 = -12 -12 + 5x + -14x = -10(x + 4) + 3 Combine like terms: 5x + -14x = -9x -12 + -9x = -10(x + 4) + 3 Reorder the terms: -12 + -9x = -10(4 + x) + 3 -12 + -9x = (4 * -10 + x * -10) + 3 -12 + -9x = (-40 + -10x) + 3 Reorder the terms: -12 + -9x = -40 + 3 + -10x Combine like terms: -40 + 3 = -37 -12 + -9x = -37 + -10x Solving -12 + -9x = -37 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12 + -9x + 10x = -37 + -10x + 10x Combine like terms: -9x + 10x = 1x -12 + 1x = -37 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 1x = -37 + 0 -12 + 1x = -37 Add '12' to each side of the equation. -12 + 12 + 1x = -37 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -37 + 12 1x = -37 + 12 Combine like terms: -37 + 12 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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