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Simplifying 6(x + 3) + x = 4(x + 2) + -4 Reorder the terms: 6(3 + x) + x = 4(x + 2) + -4 (3 * 6 + x * 6) + x = 4(x + 2) + -4 (18 + 6x) + x = 4(x + 2) + -4 Combine like terms: 6x + x = 7x 18 + 7x = 4(x + 2) + -4 Reorder the terms: 18 + 7x = 4(2 + x) + -4 18 + 7x = (2 * 4 + x * 4) + -4 18 + 7x = (8 + 4x) + -4 Reorder the terms: 18 + 7x = 8 + -4 + 4x Combine like terms: 8 + -4 = 4 18 + 7x = 4 + 4x Solving 18 + 7x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 7x + -4x = 4 + 4x + -4x Combine like terms: 7x + -4x = 3x 18 + 3x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 3x = 4 + 0 18 + 3x = 4 Add '-18' to each side of the equation. 18 + -18 + 3x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 4 + -18 3x = 4 + -18 Combine like terms: 4 + -18 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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