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Simplifying 5x + 15 + -2x = 9 + -1(4x + 2) Reorder the terms: 15 + 5x + -2x = 9 + -1(4x + 2) Combine like terms: 5x + -2x = 3x 15 + 3x = 9 + -1(4x + 2) Reorder the terms: 15 + 3x = 9 + -1(2 + 4x) 15 + 3x = 9 + (2 * -1 + 4x * -1) 15 + 3x = 9 + (-2 + -4x) Combine like terms: 9 + -2 = 7 15 + 3x = 7 + -4x Solving 15 + 3x = 7 + -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 + 3x + 4x = 7 + -4x + 4x Combine like terms: 3x + 4x = 7x 15 + 7x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 7x = 7 + 0 15 + 7x = 7 Add '-15' to each side of the equation. 15 + -15 + 7x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 7 + -15 7x = 7 + -15 Combine like terms: 7 + -15 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143
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