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Simplifying 12(x + 4) = 10x + 10 Reorder the terms: 12(4 + x) = 10x + 10 (4 * 12 + x * 12) = 10x + 10 (48 + 12x) = 10x + 10 Reorder the terms: 48 + 12x = 10 + 10x Solving 48 + 12x = 10 + 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 = 10 + 10x + -10x Combine like terms: 12x + -10x = 2x 48 + 2x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 48 + 2x = 10 + 0 48 + 2x = 10 Add '-48' to each side of the equation. 48 + -48 + 2x = 10 + -48 Combine like terms: 48 + -48 = 0 0 + 2x = 10 + -48 2x = 10 + -48 Combine like terms: 10 + -48 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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