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Simplifying -3(x + -2) + 3x + 1 = 2x + 15 Reorder the terms: -3(-2 + x) + 3x + 1 = 2x + 15 (-2 * -3 + x * -3) + 3x + 1 = 2x + 15 (6 + -3x) + 3x + 1 = 2x + 15 Reorder the terms: 6 + 1 + -3x + 3x = 2x + 15 Combine like terms: 6 + 1 = 7 7 + -3x + 3x = 2x + 15 Combine like terms: -3x + 3x = 0 7 + 0 = 2x + 15 7 = 2x + 15 Reorder the terms: 7 = 15 + 2x Solving 7 = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -2x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -2x = 15 + 0 7 + -2x = 15 Add '-7' to each side of the equation. 7 + -7 + -2x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 15 + -7 -2x = 15 + -7 Combine like terms: 15 + -7 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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