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Simplifying 72 + -2(3x + 1) = 4(3 + -2x) Reorder the terms: 72 + -2(1 + 3x) = 4(3 + -2x) 72 + (1 * -2 + 3x * -2) = 4(3 + -2x) 72 + (-2 + -6x) = 4(3 + -2x) Combine like terms: 72 + -2 = 70 70 + -6x = 4(3 + -2x) 70 + -6x = (3 * 4 + -2x * 4) 70 + -6x = (12 + -8x) Solving 70 + -6x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 70 + -6x + 8x = 12 + -8x + 8x Combine like terms: -6x + 8x = 2x 70 + 2x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 70 + 2x = 12 + 0 70 + 2x = 12 Add '-70' to each side of the equation. 70 + -70 + 2x = 12 + -70 Combine like terms: 70 + -70 = 0 0 + 2x = 12 + -70 2x = 12 + -70 Combine like terms: 12 + -70 = -58 2x = -58 Divide each side by '2'. x = -29 Simplifying x = -29
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