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Simplifying 3(6 + 2x) + -7 = 15 + 2(3x + 2x) (6 * 3 + 2x * 3) + -7 = 15 + 2(3x + 2x) (18 + 6x) + -7 = 15 + 2(3x + 2x) Reorder the terms: 18 + -7 + 6x = 15 + 2(3x + 2x) Combine like terms: 18 + -7 = 11 11 + 6x = 15 + 2(3x + 2x) Combine like terms: 3x + 2x = 5x 11 + 6x = 15 + 2(5x) Remove parenthesis around (5x) 11 + 6x = 15 + 2 * 5x Multiply 2 * 5 11 + 6x = 15 + 10x Solving 11 + 6x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 11 + 6x + -10x = 15 + 10x + -10x Combine like terms: 6x + -10x = -4x 11 + -4x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + -4x = 15 + 0 11 + -4x = 15 Add '-11' to each side of the equation. 11 + -11 + -4x = 15 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = 15 + -11 -4x = 15 + -11 Combine like terms: 15 + -11 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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