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Simplifying 2x + -1(4x + -7) = 7x + 15 Reorder the terms: 2x + -1(-7 + 4x) = 7x + 15 2x + (-7 * -1 + 4x * -1) = 7x + 15 2x + (7 + -4x) = 7x + 15 Reorder the terms: 7 + 2x + -4x = 7x + 15 Combine like terms: 2x + -4x = -2x 7 + -2x = 7x + 15 Reorder the terms: 7 + -2x = 15 + 7x Solving 7 + -2x = 15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + -2x + -7x = 15 + 7x + -7x Combine like terms: -2x + -7x = -9x 7 + -9x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -9x = 15 + 0 7 + -9x = 15 Add '-7' to each side of the equation. 7 + -7 + -9x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 15 + -7 -9x = 15 + -7 Combine like terms: 15 + -7 = 8 -9x = 8 Divide each side by '-9'. x = -0.8888888889 Simplifying x = -0.8888888889
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