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Simplifying 3(x + -4) = 3(-2x + 1) Reorder the terms: 3(-4 + x) = 3(-2x + 1) (-4 * 3 + x * 3) = 3(-2x + 1) (-12 + 3x) = 3(-2x + 1) Reorder the terms: -12 + 3x = 3(1 + -2x) -12 + 3x = (1 * 3 + -2x * 3) -12 + 3x = (3 + -6x) Solving -12 + 3x = 3 + -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 + 3x + 6x = 3 + -6x + 6x Combine like terms: 3x + 6x = 9x -12 + 9x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 9x = 3 + 0 -12 + 9x = 3 Add '12' to each side of the equation. -12 + 12 + 9x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 3 + 12 9x = 3 + 12 Combine like terms: 3 + 12 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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