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Simplifying 5x + 7(1 + -2x) = 4 + -5(x + 1) 5x + (1 * 7 + -2x * 7) = 4 + -5(x + 1) 5x + (7 + -14x) = 4 + -5(x + 1) Reorder the terms: 7 + 5x + -14x = 4 + -5(x + 1) Combine like terms: 5x + -14x = -9x 7 + -9x = 4 + -5(x + 1) Reorder the terms: 7 + -9x = 4 + -5(1 + x) 7 + -9x = 4 + (1 * -5 + x * -5) 7 + -9x = 4 + (-5 + -5x) Combine like terms: 4 + -5 = -1 7 + -9x = -1 + -5x Solving 7 + -9x = -1 + -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. 7 + -9x + 5x = -1 + -5x + 5x Combine like terms: -9x + 5x = -4x 7 + -4x = -1 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + -4x = -1 + 0 7 + -4x = -1 Add '-7' to each side of the equation. 7 + -7 + -4x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -1 + -7 -4x = -1 + -7 Combine like terms: -1 + -7 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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