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Simplifying 3x + 2 = 2(x + -6) + 5 Reorder the terms: 2 + 3x = 2(x + -6) + 5 Reorder the terms: 2 + 3x = 2(-6 + x) + 5 2 + 3x = (-6 * 2 + x * 2) + 5 2 + 3x = (-12 + 2x) + 5 Reorder the terms: 2 + 3x = -12 + 5 + 2x Combine like terms: -12 + 5 = -7 2 + 3x = -7 + 2x Solving 2 + 3x = -7 + 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. 2 + 3x + -2x = -7 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = -7 + 0 2 + 1x = -7 Add '-2' to each side of the equation. 2 + -2 + 1x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -7 + -2 1x = -7 + -2 Combine like terms: -7 + -2 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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