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Simplifying 5(x + -7) + -4(x + -1) = 8(x + 3) + -12 Reorder the terms: 5(-7 + x) + -4(x + -1) = 8(x + 3) + -12 (-7 * 5 + x * 5) + -4(x + -1) = 8(x + 3) + -12 (-35 + 5x) + -4(x + -1) = 8(x + 3) + -12 Reorder the terms: -35 + 5x + -4(-1 + x) = 8(x + 3) + -12 -35 + 5x + (-1 * -4 + x * -4) = 8(x + 3) + -12 -35 + 5x + (4 + -4x) = 8(x + 3) + -12 Reorder the terms: -35 + 4 + 5x + -4x = 8(x + 3) + -12 Combine like terms: -35 + 4 = -31 -31 + 5x + -4x = 8(x + 3) + -12 Combine like terms: 5x + -4x = 1x -31 + 1x = 8(x + 3) + -12 Reorder the terms: -31 + 1x = 8(3 + x) + -12 -31 + 1x = (3 * 8 + x * 8) + -12 -31 + 1x = (24 + 8x) + -12 Reorder the terms: -31 + 1x = 24 + -12 + 8x Combine like terms: 24 + -12 = 12 -31 + 1x = 12 + 8x Solving -31 + 1x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -31 + 1x + -8x = 12 + 8x + -8x Combine like terms: 1x + -8x = -7x -31 + -7x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -31 + -7x = 12 + 0 -31 + -7x = 12 Add '31' to each side of the equation. -31 + 31 + -7x = 12 + 31 Combine like terms: -31 + 31 = 0 0 + -7x = 12 + 31 -7x = 12 + 31 Combine like terms: 12 + 31 = 43 -7x = 43 Divide each side by '-7'. x = -6.142857143 Simplifying x = -6.142857143
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