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Simplifying 6(3 + -4x) + 12 = 10x + -2(5 + -3x) (3 * 6 + -4x * 6) + 12 = 10x + -2(5 + -3x) (18 + -24x) + 12 = 10x + -2(5 + -3x) Reorder the terms: 18 + 12 + -24x = 10x + -2(5 + -3x) Combine like terms: 18 + 12 = 30 30 + -24x = 10x + -2(5 + -3x) 30 + -24x = 10x + (5 * -2 + -3x * -2) 30 + -24x = 10x + (-10 + 6x) Reorder the terms: 30 + -24x = -10 + 10x + 6x Combine like terms: 10x + 6x = 16x 30 + -24x = -10 + 16x Solving 30 + -24x = -10 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 30 + -24x + -16x = -10 + 16x + -16x Combine like terms: -24x + -16x = -40x 30 + -40x = -10 + 16x + -16x Combine like terms: 16x + -16x = 0 30 + -40x = -10 + 0 30 + -40x = -10 Add '-30' to each side of the equation. 30 + -30 + -40x = -10 + -30 Combine like terms: 30 + -30 = 0 0 + -40x = -10 + -30 -40x = -10 + -30 Combine like terms: -10 + -30 = -40 -40x = -40 Divide each side by '-40'. x = 1 Simplifying x = 1
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