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Simplifying (x + -2) * 3 + 7 = 6(2x + -4) + 7 Reorder the terms: (-2 + x) * 3 + 7 = 6(2x + -4) + 7 Reorder the terms for easier multiplication: 3(-2 + x) + 7 = 6(2x + -4) + 7 (-2 * 3 + x * 3) + 7 = 6(2x + -4) + 7 (-6 + 3x) + 7 = 6(2x + -4) + 7 Reorder the terms: -6 + 7 + 3x = 6(2x + -4) + 7 Combine like terms: -6 + 7 = 1 1 + 3x = 6(2x + -4) + 7 Reorder the terms: 1 + 3x = 6(-4 + 2x) + 7 1 + 3x = (-4 * 6 + 2x * 6) + 7 1 + 3x = (-24 + 12x) + 7 Reorder the terms: 1 + 3x = -24 + 7 + 12x Combine like terms: -24 + 7 = -17 1 + 3x = -17 + 12x Solving 1 + 3x = -17 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + 3x + -12x = -17 + 12x + -12x Combine like terms: 3x + -12x = -9x 1 + -9x = -17 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -9x = -17 + 0 1 + -9x = -17 Add '-1' to each side of the equation. 1 + -1 + -9x = -17 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = -17 + -1 -9x = -17 + -1 Combine like terms: -17 + -1 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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