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