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Simplifying 3(x + -4) + -1 = 2x + -12 Reorder the terms: 3(-4 + x) + -1 = 2x + -12 (-4 * 3 + x * 3) + -1 = 2x + -12 (-12 + 3x) + -1 = 2x + -12 Reorder the terms: -12 + -1 + 3x = 2x + -12 Combine like terms: -12 + -1 = -13 -13 + 3x = 2x + -12 Reorder the terms: -13 + 3x = -12 + 2x Solving -13 + 3x = -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. -13 + 3x + -2x = -12 + 2x + -2x Combine like terms: 3x + -2x = 1x -13 + 1x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 1x = -12 + 0 -13 + 1x = -12 Add '13' to each side of the equation. -13 + 13 + 1x = -12 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -12 + 13 1x = -12 + 13 Combine like terms: -12 + 13 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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