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Simplifying 6(x + 3) + x = 3(x + 4) + -4 Reorder the terms: 6(3 + x) + x = 3(x + 4) + -4 (3 * 6 + x * 6) + x = 3(x + 4) + -4 (18 + 6x) + x = 3(x + 4) + -4 Combine like terms: 6x + x = 7x 18 + 7x = 3(x + 4) + -4 Reorder the terms: 18 + 7x = 3(4 + x) + -4 18 + 7x = (4 * 3 + x * 3) + -4 18 + 7x = (12 + 3x) + -4 Reorder the terms: 18 + 7x = 12 + -4 + 3x Combine like terms: 12 + -4 = 8 18 + 7x = 8 + 3x Solving 18 + 7x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + 7x + -3x = 8 + 3x + -3x Combine like terms: 7x + -3x = 4x 18 + 4x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 4x = 8 + 0 18 + 4x = 8 Add '-18' to each side of the equation. 18 + -18 + 4x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 8 + -18 4x = 8 + -18 Combine like terms: 8 + -18 = -10 4x = -10 Divide each side by '4'. x = -2.5 Simplifying x = -2.5
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