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Simplifying 3(x + -4) + -1 = 2x + -5 Reorder the terms: 3(-4 + x) + -1 = 2x + -5 (-4 * 3 + x * 3) + -1 = 2x + -5 (-12 + 3x) + -1 = 2x + -5 Reorder the terms: -12 + -1 + 3x = 2x + -5 Combine like terms: -12 + -1 = -13 -13 + 3x = 2x + -5 Reorder the terms: -13 + 3x = -5 + 2x Solving -13 + 3x = -5 + 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 = -5 + 2x + -2x Combine like terms: 3x + -2x = 1x -13 + 1x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 1x = -5 + 0 -13 + 1x = -5 Add '13' to each side of the equation. -13 + 13 + 1x = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -5 + 13 1x = -5 + 13 Combine like terms: -5 + 13 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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