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Simplifying 3(x + -4) + -1 = 2(2x + -7) Reorder the terms: 3(-4 + x) + -1 = 2(2x + -7) (-4 * 3 + x * 3) + -1 = 2(2x + -7) (-12 + 3x) + -1 = 2(2x + -7) Reorder the terms: -12 + -1 + 3x = 2(2x + -7) Combine like terms: -12 + -1 = -13 -13 + 3x = 2(2x + -7) Reorder the terms: -13 + 3x = 2(-7 + 2x) -13 + 3x = (-7 * 2 + 2x * 2) -13 + 3x = (-14 + 4x) Solving -13 + 3x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -13 + 3x + -4x = -14 + 4x + -4x Combine like terms: 3x + -4x = -1x -13 + -1x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -1x = -14 + 0 -13 + -1x = -14 Add '13' to each side of the equation. -13 + 13 + -1x = -14 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = -14 + 13 -1x = -14 + 13 Combine like terms: -14 + 13 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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