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Simplifying 12(x + -4) = 10(x + -3) Reorder the terms: 12(-4 + x) = 10(x + -3) (-4 * 12 + x * 12) = 10(x + -3) (-48 + 12x) = 10(x + -3) Reorder the terms: -48 + 12x = 10(-3 + x) -48 + 12x = (-3 * 10 + x * 10) -48 + 12x = (-30 + 10x) Solving -48 + 12x = -30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -48 + 12x + -10x = -30 + 10x + -10x Combine like terms: 12x + -10x = 2x -48 + 2x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 -48 + 2x = -30 + 0 -48 + 2x = -30 Add '48' to each side of the equation. -48 + 48 + 2x = -30 + 48 Combine like terms: -48 + 48 = 0 0 + 2x = -30 + 48 2x = -30 + 48 Combine like terms: -30 + 48 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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