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Simplifying 7x + 5 + 2x = 3(x + 1) + -15 Reorder the terms: 5 + 7x + 2x = 3(x + 1) + -15 Combine like terms: 7x + 2x = 9x 5 + 9x = 3(x + 1) + -15 Reorder the terms: 5 + 9x = 3(1 + x) + -15 5 + 9x = (1 * 3 + x * 3) + -15 5 + 9x = (3 + 3x) + -15 Reorder the terms: 5 + 9x = 3 + -15 + 3x Combine like terms: 3 + -15 = -12 5 + 9x = -12 + 3x Solving 5 + 9x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 9x + -3x = -12 + 3x + -3x Combine like terms: 9x + -3x = 6x 5 + 6x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 6x = -12 + 0 5 + 6x = -12 Add '-5' to each side of the equation. 5 + -5 + 6x = -12 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = -12 + -5 6x = -12 + -5 Combine like terms: -12 + -5 = -17 6x = -17 Divide each side by '6'. x = -2.833333333 Simplifying x = -2.833333333
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