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