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Simplifying -3(4 + x) + 3x = 6(x + 1) (4 * -3 + x * -3) + 3x = 6(x + 1) (-12 + -3x) + 3x = 6(x + 1) Combine like terms: -3x + 3x = 0 -12 + 0 = 6(x + 1) -12 = 6(x + 1) Reorder the terms: -12 = 6(1 + x) -12 = (1 * 6 + x * 6) -12 = (6 + 6x) Solving -12 = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + -6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -6x = 6 + 0 -12 + -6x = 6 Add '12' to each side of the equation. -12 + 12 + -6x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 6 + 12 -6x = 6 + 12 Combine like terms: 6 + 12 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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