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Simplifying 6(x + 3) + -7 = 3(2x + 1) + x Reorder the terms: 6(3 + x) + -7 = 3(2x + 1) + x (3 * 6 + x * 6) + -7 = 3(2x + 1) + x (18 + 6x) + -7 = 3(2x + 1) + x Reorder the terms: 18 + -7 + 6x = 3(2x + 1) + x Combine like terms: 18 + -7 = 11 11 + 6x = 3(2x + 1) + x Reorder the terms: 11 + 6x = 3(1 + 2x) + x 11 + 6x = (1 * 3 + 2x * 3) + x 11 + 6x = (3 + 6x) + x Combine like terms: 6x + x = 7x 11 + 6x = 3 + 7x Solving 11 + 6x = 3 + 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. 11 + 6x + -7x = 3 + 7x + -7x Combine like terms: 6x + -7x = -1x 11 + -1x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -1x = 3 + 0 11 + -1x = 3 Add '-11' to each side of the equation. 11 + -11 + -1x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 3 + -11 -1x = 3 + -11 Combine like terms: 3 + -11 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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