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Simplifying 2(7 + x) + -4(x + 3) = 15(x + -1) (7 * 2 + x * 2) + -4(x + 3) = 15(x + -1) (14 + 2x) + -4(x + 3) = 15(x + -1) Reorder the terms: 14 + 2x + -4(3 + x) = 15(x + -1) 14 + 2x + (3 * -4 + x * -4) = 15(x + -1) 14 + 2x + (-12 + -4x) = 15(x + -1) Reorder the terms: 14 + -12 + 2x + -4x = 15(x + -1) Combine like terms: 14 + -12 = 2 2 + 2x + -4x = 15(x + -1) Combine like terms: 2x + -4x = -2x 2 + -2x = 15(x + -1) Reorder the terms: 2 + -2x = 15(-1 + x) 2 + -2x = (-1 * 15 + x * 15) 2 + -2x = (-15 + 15x) Solving 2 + -2x = -15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 2 + -2x + -15x = -15 + 15x + -15x Combine like terms: -2x + -15x = -17x 2 + -17x = -15 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -17x = -15 + 0 2 + -17x = -15 Add '-2' to each side of the equation. 2 + -2 + -17x = -15 + -2 Combine like terms: 2 + -2 = 0 0 + -17x = -15 + -2 -17x = -15 + -2 Combine like terms: -15 + -2 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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