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