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