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Simplifying 3(2x + 5) + -7 = 2x + 12 Reorder the terms: 3(5 + 2x) + -7 = 2x + 12 (5 * 3 + 2x * 3) + -7 = 2x + 12 (15 + 6x) + -7 = 2x + 12 Reorder the terms: 15 + -7 + 6x = 2x + 12 Combine like terms: 15 + -7 = 8 8 + 6x = 2x + 12 Reorder the terms: 8 + 6x = 12 + 2x Solving 8 + 6x = 12 + 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. 8 + 6x + -2x = 12 + 2x + -2x Combine like terms: 6x + -2x = 4x 8 + 4x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 4x = 12 + 0 8 + 4x = 12 Add '-8' to each side of the equation. 8 + -8 + 4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 12 + -8 4x = 12 + -8 Combine like terms: 12 + -8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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