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Simplifying 3(2x + 5) = 1 + -4(2 + -1x) Reorder the terms: 3(5 + 2x) = 1 + -4(2 + -1x) (5 * 3 + 2x * 3) = 1 + -4(2 + -1x) (15 + 6x) = 1 + -4(2 + -1x) 15 + 6x = 1 + (2 * -4 + -1x * -4) 15 + 6x = 1 + (-8 + 4x) Combine like terms: 1 + -8 = -7 15 + 6x = -7 + 4x Solving 15 + 6x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 6x + -4x = -7 + 4x + -4x Combine like terms: 6x + -4x = 2x 15 + 2x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 2x = -7 + 0 15 + 2x = -7 Add '-15' to each side of the equation. 15 + -15 + 2x = -7 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -7 + -15 2x = -7 + -15 Combine like terms: -7 + -15 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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