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Simplifying 3(2x + 3) = 7(x + -6) + 7 Reorder the terms: 3(3 + 2x) = 7(x + -6) + 7 (3 * 3 + 2x * 3) = 7(x + -6) + 7 (9 + 6x) = 7(x + -6) + 7 Reorder the terms: 9 + 6x = 7(-6 + x) + 7 9 + 6x = (-6 * 7 + x * 7) + 7 9 + 6x = (-42 + 7x) + 7 Reorder the terms: 9 + 6x = -42 + 7 + 7x Combine like terms: -42 + 7 = -35 9 + 6x = -35 + 7x Solving 9 + 6x = -35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 9 + 6x + -7x = -35 + 7x + -7x Combine like terms: 6x + -7x = -1x 9 + -1x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -1x = -35 + 0 9 + -1x = -35 Add '-9' to each side of the equation. 9 + -9 + -1x = -35 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -35 + -9 -1x = -35 + -9 Combine like terms: -35 + -9 = -44 -1x = -44 Divide each side by '-1'. x = 44 Simplifying x = 44
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