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Simplifying 3(x + 2) + 2x = 2(x + -7) + 2x + 5 Reorder the terms: 3(2 + x) + 2x = 2(x + -7) + 2x + 5 (2 * 3 + x * 3) + 2x = 2(x + -7) + 2x + 5 (6 + 3x) + 2x = 2(x + -7) + 2x + 5 Combine like terms: 3x + 2x = 5x 6 + 5x = 2(x + -7) + 2x + 5 Reorder the terms: 6 + 5x = 2(-7 + x) + 2x + 5 6 + 5x = (-7 * 2 + x * 2) + 2x + 5 6 + 5x = (-14 + 2x) + 2x + 5 Reorder the terms: 6 + 5x = -14 + 5 + 2x + 2x Combine like terms: -14 + 5 = -9 6 + 5x = -9 + 2x + 2x Combine like terms: 2x + 2x = 4x 6 + 5x = -9 + 4x Solving 6 + 5x = -9 + 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. 6 + 5x + -4x = -9 + 4x + -4x Combine like terms: 5x + -4x = 1x 6 + 1x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 1x = -9 + 0 6 + 1x = -9 Add '-6' to each side of the equation. 6 + -6 + 1x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -9 + -6 1x = -9 + -6 Combine like terms: -9 + -6 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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