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Simplifying 9x + -1(7x + -15) = 28 + (35 + -10x) Reorder the terms: 9x + -1(-15 + 7x) = 28 + (35 + -10x) 9x + (-15 * -1 + 7x * -1) = 28 + (35 + -10x) 9x + (15 + -7x) = 28 + (35 + -10x) Reorder the terms: 15 + 9x + -7x = 28 + (35 + -10x) Combine like terms: 9x + -7x = 2x 15 + 2x = 28 + (35 + -10x) Remove parenthesis around (35 + -10x) 15 + 2x = 28 + 35 + -10x Combine like terms: 28 + 35 = 63 15 + 2x = 63 + -10x Solving 15 + 2x = 63 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 15 + 2x + 10x = 63 + -10x + 10x Combine like terms: 2x + 10x = 12x 15 + 12x = 63 + -10x + 10x Combine like terms: -10x + 10x = 0 15 + 12x = 63 + 0 15 + 12x = 63 Add '-15' to each side of the equation. 15 + -15 + 12x = 63 + -15 Combine like terms: 15 + -15 = 0 0 + 12x = 63 + -15 12x = 63 + -15 Combine like terms: 63 + -15 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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