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Simplifying 2x + -5(x + -7) = -1(x + -3) Reorder the terms: 2x + -5(-7 + x) = -1(x + -3) 2x + (-7 * -5 + x * -5) = -1(x + -3) 2x + (35 + -5x) = -1(x + -3) Reorder the terms: 35 + 2x + -5x = -1(x + -3) Combine like terms: 2x + -5x = -3x 35 + -3x = -1(x + -3) Reorder the terms: 35 + -3x = -1(-3 + x) 35 + -3x = (-3 * -1 + x * -1) 35 + -3x = (3 + -1x) Solving 35 + -3x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 35 + -3x + x = 3 + -1x + x Combine like terms: -3x + x = -2x 35 + -2x = 3 + -1x + x Combine like terms: -1x + x = 0 35 + -2x = 3 + 0 35 + -2x = 3 Add '-35' to each side of the equation. 35 + -35 + -2x = 3 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 3 + -35 -2x = 3 + -35 Combine like terms: 3 + -35 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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