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Simplifying 3x + -2(5x + -7) = 2(x + 1) + 7 Reorder the terms: 3x + -2(-7 + 5x) = 2(x + 1) + 7 3x + (-7 * -2 + 5x * -2) = 2(x + 1) + 7 3x + (14 + -10x) = 2(x + 1) + 7 Reorder the terms: 14 + 3x + -10x = 2(x + 1) + 7 Combine like terms: 3x + -10x = -7x 14 + -7x = 2(x + 1) + 7 Reorder the terms: 14 + -7x = 2(1 + x) + 7 14 + -7x = (1 * 2 + x * 2) + 7 14 + -7x = (2 + 2x) + 7 Reorder the terms: 14 + -7x = 2 + 7 + 2x Combine like terms: 2 + 7 = 9 14 + -7x = 9 + 2x Solving 14 + -7x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + -7x + -2x = 9 + 2x + -2x Combine like terms: -7x + -2x = -9x 14 + -9x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -9x = 9 + 0 14 + -9x = 9 Add '-14' to each side of the equation. 14 + -14 + -9x = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = 9 + -14 -9x = 9 + -14 Combine like terms: 9 + -14 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556
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