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Simplifying 4 + -1(3x + -7) + 2x = -5(x + -7) Reorder the terms: 4 + -1(-7 + 3x) + 2x = -5(x + -7) 4 + (-7 * -1 + 3x * -1) + 2x = -5(x + -7) 4 + (7 + -3x) + 2x = -5(x + -7) Combine like terms: 4 + 7 = 11 11 + -3x + 2x = -5(x + -7) Combine like terms: -3x + 2x = -1x 11 + -1x = -5(x + -7) Reorder the terms: 11 + -1x = -5(-7 + x) 11 + -1x = (-7 * -5 + x * -5) 11 + -1x = (35 + -5x) Solving 11 + -1x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 11 + -1x + 5x = 35 + -5x + 5x Combine like terms: -1x + 5x = 4x 11 + 4x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 11 + 4x = 35 + 0 11 + 4x = 35 Add '-11' to each side of the equation. 11 + -11 + 4x = 35 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 35 + -11 4x = 35 + -11 Combine like terms: 35 + -11 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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