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Simplifying 10(x + -3) = 12(x + 4) Reorder the terms: 10(-3 + x) = 12(x + 4) (-3 * 10 + x * 10) = 12(x + 4) (-30 + 10x) = 12(x + 4) Reorder the terms: -30 + 10x = 12(4 + x) -30 + 10x = (4 * 12 + x * 12) -30 + 10x = (48 + 12x) Solving -30 + 10x = 48 + 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. -30 + 10x + -12x = 48 + 12x + -12x Combine like terms: 10x + -12x = -2x -30 + -2x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 -30 + -2x = 48 + 0 -30 + -2x = 48 Add '30' to each side of the equation. -30 + 30 + -2x = 48 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = 48 + 30 -2x = 48 + 30 Combine like terms: 48 + 30 = 78 -2x = 78 Divide each side by '-2'. x = -39 Simplifying x = -39
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