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Simplifying 5x + -2(7x + 3 + -5) + 9x = 10(x + 3) + -4x + 5(x + -3) Reorder the terms: 5x + -2(3 + -5 + 7x) + 9x = 10(x + 3) + -4x + 5(x + -3) Combine like terms: 3 + -5 = -2 5x + -2(-2 + 7x) + 9x = 10(x + 3) + -4x + 5(x + -3) 5x + (-2 * -2 + 7x * -2) + 9x = 10(x + 3) + -4x + 5(x + -3) 5x + (4 + -14x) + 9x = 10(x + 3) + -4x + 5(x + -3) Reorder the terms: 4 + 5x + -14x + 9x = 10(x + 3) + -4x + 5(x + -3) Combine like terms: 5x + -14x = -9x 4 + -9x + 9x = 10(x + 3) + -4x + 5(x + -3) Combine like terms: -9x + 9x = 0 4 + 0 = 10(x + 3) + -4x + 5(x + -3) 4 = 10(x + 3) + -4x + 5(x + -3) Reorder the terms: 4 = 10(3 + x) + -4x + 5(x + -3) 4 = (3 * 10 + x * 10) + -4x + 5(x + -3) 4 = (30 + 10x) + -4x + 5(x + -3) Reorder the terms: 4 = 30 + 10x + -4x + 5(-3 + x) 4 = 30 + 10x + -4x + (-3 * 5 + x * 5) 4 = 30 + 10x + -4x + (-15 + 5x) Reorder the terms: 4 = 30 + -15 + 10x + -4x + 5x Combine like terms: 30 + -15 = 15 4 = 15 + 10x + -4x + 5x Combine like terms: 10x + -4x = 6x 4 = 15 + 6x + 5x Combine like terms: 6x + 5x = 11x 4 = 15 + 11x Solving 4 = 15 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 4 + -11x = 15 + 11x + -11x Combine like terms: 11x + -11x = 0 4 + -11x = 15 + 0 4 + -11x = 15 Add '-4' to each side of the equation. 4 + -4 + -11x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = 15 + -4 -11x = 15 + -4 Combine like terms: 15 + -4 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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