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Simplifying 15 + 2(x + -5) + 7x = 5x + 3(x + -2) Reorder the terms: 15 + 2(-5 + x) + 7x = 5x + 3(x + -2) 15 + (-5 * 2 + x * 2) + 7x = 5x + 3(x + -2) 15 + (-10 + 2x) + 7x = 5x + 3(x + -2) Combine like terms: 15 + -10 = 5 5 + 2x + 7x = 5x + 3(x + -2) Combine like terms: 2x + 7x = 9x 5 + 9x = 5x + 3(x + -2) Reorder the terms: 5 + 9x = 5x + 3(-2 + x) 5 + 9x = 5x + (-2 * 3 + x * 3) 5 + 9x = 5x + (-6 + 3x) Reorder the terms: 5 + 9x = -6 + 5x + 3x Combine like terms: 5x + 3x = 8x 5 + 9x = -6 + 8x Solving 5 + 9x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + 9x + -8x = -6 + 8x + -8x Combine like terms: 9x + -8x = 1x 5 + 1x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + 1x = -6 + 0 5 + 1x = -6 Add '-5' to each side of the equation. 5 + -5 + 1x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -6 + -5 1x = -6 + -5 Combine like terms: -6 + -5 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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