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Simplifying 13 + -1(-4x + 9) + 4x = 7x + -1(10 + 6x) Reorder the terms: 13 + -1(9 + -4x) + 4x = 7x + -1(10 + 6x) 13 + (9 * -1 + -4x * -1) + 4x = 7x + -1(10 + 6x) 13 + (-9 + 4x) + 4x = 7x + -1(10 + 6x) Combine like terms: 13 + -9 = 4 4 + 4x + 4x = 7x + -1(10 + 6x) Combine like terms: 4x + 4x = 8x 4 + 8x = 7x + -1(10 + 6x) 4 + 8x = 7x + (10 * -1 + 6x * -1) 4 + 8x = 7x + (-10 + -6x) Reorder the terms: 4 + 8x = -10 + 7x + -6x Combine like terms: 7x + -6x = 1x 4 + 8x = -10 + 1x Solving 4 + 8x = -10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + 8x + -1x = -10 + 1x + -1x Combine like terms: 8x + -1x = 7x 4 + 7x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 4 + 7x = -10 + 0 4 + 7x = -10 Add '-4' to each side of the equation. 4 + -4 + 7x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = -10 + -4 7x = -10 + -4 Combine like terms: -10 + -4 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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