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Simplifying 15 + 2(4x + -1) = 18 + -1(4x + -7) Reorder the terms: 15 + 2(-1 + 4x) = 18 + -1(4x + -7) 15 + (-1 * 2 + 4x * 2) = 18 + -1(4x + -7) 15 + (-2 + 8x) = 18 + -1(4x + -7) Combine like terms: 15 + -2 = 13 13 + 8x = 18 + -1(4x + -7) Reorder the terms: 13 + 8x = 18 + -1(-7 + 4x) 13 + 8x = 18 + (-7 * -1 + 4x * -1) 13 + 8x = 18 + (7 + -4x) Combine like terms: 18 + 7 = 25 13 + 8x = 25 + -4x Solving 13 + 8x = 25 + -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. 13 + 8x + 4x = 25 + -4x + 4x Combine like terms: 8x + 4x = 12x 13 + 12x = 25 + -4x + 4x Combine like terms: -4x + 4x = 0 13 + 12x = 25 + 0 13 + 12x = 25 Add '-13' to each side of the equation. 13 + -13 + 12x = 25 + -13 Combine like terms: 13 + -13 = 0 0 + 12x = 25 + -13 12x = 25 + -13 Combine like terms: 25 + -13 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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