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