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Simplifying 8(x + -5) = 12(4x + -1) + 12 Reorder the terms: 8(-5 + x) = 12(4x + -1) + 12 (-5 * 8 + x * 8) = 12(4x + -1) + 12 (-40 + 8x) = 12(4x + -1) + 12 Reorder the terms: -40 + 8x = 12(-1 + 4x) + 12 -40 + 8x = (-1 * 12 + 4x * 12) + 12 -40 + 8x = (-12 + 48x) + 12 Reorder the terms: -40 + 8x = -12 + 12 + 48x Combine like terms: -12 + 12 = 0 -40 + 8x = 0 + 48x -40 + 8x = 48x Solving -40 + 8x = 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -40 + 8x + -48x = 48x + -48x Combine like terms: 8x + -48x = -40x -40 + -40x = 48x + -48x Combine like terms: 48x + -48x = 0 -40 + -40x = 0 Add '40' to each side of the equation. -40 + 40 + -40x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -40x = 0 + 40 -40x = 0 + 40 Combine like terms: 0 + 40 = 40 -40x = 40 Divide each side by '-40'. x = -1 Simplifying x = -1
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