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Simplifying 5(x + -7) + -4(x + -1) = 8(x + 3) + -12x Reorder the terms: 5(-7 + x) + -4(x + -1) = 8(x + 3) + -12x (-7 * 5 + x * 5) + -4(x + -1) = 8(x + 3) + -12x (-35 + 5x) + -4(x + -1) = 8(x + 3) + -12x Reorder the terms: -35 + 5x + -4(-1 + x) = 8(x + 3) + -12x -35 + 5x + (-1 * -4 + x * -4) = 8(x + 3) + -12x -35 + 5x + (4 + -4x) = 8(x + 3) + -12x Reorder the terms: -35 + 4 + 5x + -4x = 8(x + 3) + -12x Combine like terms: -35 + 4 = -31 -31 + 5x + -4x = 8(x + 3) + -12x Combine like terms: 5x + -4x = 1x -31 + 1x = 8(x + 3) + -12x Reorder the terms: -31 + 1x = 8(3 + x) + -12x -31 + 1x = (3 * 8 + x * 8) + -12x -31 + 1x = (24 + 8x) + -12x Combine like terms: 8x + -12x = -4x -31 + 1x = 24 + -4x Solving -31 + 1x = 24 + -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. -31 + 1x + 4x = 24 + -4x + 4x Combine like terms: 1x + 4x = 5x -31 + 5x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -31 + 5x = 24 + 0 -31 + 5x = 24 Add '31' to each side of the equation. -31 + 31 + 5x = 24 + 31 Combine like terms: -31 + 31 = 0 0 + 5x = 24 + 31 5x = 24 + 31 Combine like terms: 24 + 31 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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