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Simplifying 8(x + -2) = 12(x + -3) Reorder the terms: 8(-2 + x) = 12(x + -3) (-2 * 8 + x * 8) = 12(x + -3) (-16 + 8x) = 12(x + -3) Reorder the terms: -16 + 8x = 12(-3 + x) -16 + 8x = (-3 * 12 + x * 12) -16 + 8x = (-36 + 12x) Solving -16 + 8x = -36 + 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. -16 + 8x + -12x = -36 + 12x + -12x Combine like terms: 8x + -12x = -4x -16 + -4x = -36 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + -4x = -36 + 0 -16 + -4x = -36 Add '16' to each side of the equation. -16 + 16 + -4x = -36 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = -36 + 16 -4x = -36 + 16 Combine like terms: -36 + 16 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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