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Simplifying 6(x + 3) = x + 3(4 + -1x) Reorder the terms: 6(3 + x) = x + 3(4 + -1x) (3 * 6 + x * 6) = x + 3(4 + -1x) (18 + 6x) = x + 3(4 + -1x) 18 + 6x = x + (4 * 3 + -1x * 3) 18 + 6x = x + (12 + -3x) Reorder the terms: 18 + 6x = 12 + x + -3x Combine like terms: x + -3x = -2x 18 + 6x = 12 + -2x Solving 18 + 6x = 12 + -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 + 6x + 2x = 12 + -2x + 2x Combine like terms: 6x + 2x = 8x 18 + 8x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 8x = 12 + 0 18 + 8x = 12 Add '-18' to each side of the equation. 18 + -18 + 8x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 12 + -18 8x = 12 + -18 Combine like terms: 12 + -18 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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