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Simplifying 8(x + -5) = 7(x + -12) Reorder the terms: 8(-5 + x) = 7(x + -12) (-5 * 8 + x * 8) = 7(x + -12) (-40 + 8x) = 7(x + -12) Reorder the terms: -40 + 8x = 7(-12 + x) -40 + 8x = (-12 * 7 + x * 7) -40 + 8x = (-84 + 7x) Solving -40 + 8x = -84 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -40 + 8x + -7x = -84 + 7x + -7x Combine like terms: 8x + -7x = 1x -40 + 1x = -84 + 7x + -7x Combine like terms: 7x + -7x = 0 -40 + 1x = -84 + 0 -40 + 1x = -84 Add '40' to each side of the equation. -40 + 40 + 1x = -84 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = -84 + 40 1x = -84 + 40 Combine like terms: -84 + 40 = -44 1x = -44 Divide each side by '1'. x = -44 Simplifying x = -44
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