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Simplifying 4(6x + 3) + -14(x + 2) = 2(10 + -1x) Reorder the terms: 4(3 + 6x) + -14(x + 2) = 2(10 + -1x) (3 * 4 + 6x * 4) + -14(x + 2) = 2(10 + -1x) (12 + 24x) + -14(x + 2) = 2(10 + -1x) Reorder the terms: 12 + 24x + -14(2 + x) = 2(10 + -1x) 12 + 24x + (2 * -14 + x * -14) = 2(10 + -1x) 12 + 24x + (-28 + -14x) = 2(10 + -1x) Reorder the terms: 12 + -28 + 24x + -14x = 2(10 + -1x) Combine like terms: 12 + -28 = -16 -16 + 24x + -14x = 2(10 + -1x) Combine like terms: 24x + -14x = 10x -16 + 10x = 2(10 + -1x) -16 + 10x = (10 * 2 + -1x * 2) -16 + 10x = (20 + -2x) Solving -16 + 10x = 20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + 10x + 2x = 20 + -2x + 2x Combine like terms: 10x + 2x = 12x -16 + 12x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 12x = 20 + 0 -16 + 12x = 20 Add '16' to each side of the equation. -16 + 16 + 12x = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 12x = 20 + 16 12x = 20 + 16 Combine like terms: 20 + 16 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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