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Simplifying 3(x + -4) = 1 + -1(2x + -7) Reorder the terms: 3(-4 + x) = 1 + -1(2x + -7) (-4 * 3 + x * 3) = 1 + -1(2x + -7) (-12 + 3x) = 1 + -1(2x + -7) Reorder the terms: -12 + 3x = 1 + -1(-7 + 2x) -12 + 3x = 1 + (-7 * -1 + 2x * -1) -12 + 3x = 1 + (7 + -2x) Combine like terms: 1 + 7 = 8 -12 + 3x = 8 + -2x Solving -12 + 3x = 8 + -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. -12 + 3x + 2x = 8 + -2x + 2x Combine like terms: 3x + 2x = 5x -12 + 5x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 5x = 8 + 0 -12 + 5x = 8 Add '12' to each side of the equation. -12 + 12 + 5x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 8 + 12 5x = 8 + 12 Combine like terms: 8 + 12 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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