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Simplifying 3 + -2(5x + -2) = 4 + -3(3x + 6) Reorder the terms: 3 + -2(-2 + 5x) = 4 + -3(3x + 6) 3 + (-2 * -2 + 5x * -2) = 4 + -3(3x + 6) 3 + (4 + -10x) = 4 + -3(3x + 6) Combine like terms: 3 + 4 = 7 7 + -10x = 4 + -3(3x + 6) Reorder the terms: 7 + -10x = 4 + -3(6 + 3x) 7 + -10x = 4 + (6 * -3 + 3x * -3) 7 + -10x = 4 + (-18 + -9x) Combine like terms: 4 + -18 = -14 7 + -10x = -14 + -9x Solving 7 + -10x = -14 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 7 + -10x + 9x = -14 + -9x + 9x Combine like terms: -10x + 9x = -1x 7 + -1x = -14 + -9x + 9x Combine like terms: -9x + 9x = 0 7 + -1x = -14 + 0 7 + -1x = -14 Add '-7' to each side of the equation. 7 + -7 + -1x = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -14 + -7 -1x = -14 + -7 Combine like terms: -14 + -7 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21
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