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Simplifying 3(x + -4) + 2x + -7(x + -5) = -1 Reorder the terms: 3(-4 + x) + 2x + -7(x + -5) = -1 (-4 * 3 + x * 3) + 2x + -7(x + -5) = -1 (-12 + 3x) + 2x + -7(x + -5) = -1 Reorder the terms: -12 + 3x + 2x + -7(-5 + x) = -1 -12 + 3x + 2x + (-5 * -7 + x * -7) = -1 -12 + 3x + 2x + (35 + -7x) = -1 Reorder the terms: -12 + 35 + 3x + 2x + -7x = -1 Combine like terms: -12 + 35 = 23 23 + 3x + 2x + -7x = -1 Combine like terms: 3x + 2x = 5x 23 + 5x + -7x = -1 Combine like terms: 5x + -7x = -2x 23 + -2x = -1 Solving 23 + -2x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -2x = -1 + -23 Combine like terms: 23 + -23 = 0 0 + -2x = -1 + -23 -2x = -1 + -23 Combine like terms: -1 + -23 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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