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Simplifying 12(x + 4) = 3(-6x + 10) Reorder the terms: 12(4 + x) = 3(-6x + 10) (4 * 12 + x * 12) = 3(-6x + 10) (48 + 12x) = 3(-6x + 10) Reorder the terms: 48 + 12x = 3(10 + -6x) 48 + 12x = (10 * 3 + -6x * 3) 48 + 12x = (30 + -18x) Solving 48 + 12x = 30 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 48 + 12x + 18x = 30 + -18x + 18x Combine like terms: 12x + 18x = 30x 48 + 30x = 30 + -18x + 18x Combine like terms: -18x + 18x = 0 48 + 30x = 30 + 0 48 + 30x = 30 Add '-48' to each side of the equation. 48 + -48 + 30x = 30 + -48 Combine like terms: 48 + -48 = 0 0 + 30x = 30 + -48 30x = 30 + -48 Combine like terms: 30 + -48 = -18 30x = -18 Divide each side by '30'. x = -0.6 Simplifying x = -0.6
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