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Simplifying x + -1(3x + -4) = 7x + -1(2x + 5) Reorder the terms: x + -1(-4 + 3x) = 7x + -1(2x + 5) x + (-4 * -1 + 3x * -1) = 7x + -1(2x + 5) x + (4 + -3x) = 7x + -1(2x + 5) Reorder the terms: 4 + x + -3x = 7x + -1(2x + 5) Combine like terms: x + -3x = -2x 4 + -2x = 7x + -1(2x + 5) Reorder the terms: 4 + -2x = 7x + -1(5 + 2x) 4 + -2x = 7x + (5 * -1 + 2x * -1) 4 + -2x = 7x + (-5 + -2x) Reorder the terms: 4 + -2x = -5 + 7x + -2x Combine like terms: 7x + -2x = 5x 4 + -2x = -5 + 5x Solving 4 + -2x = -5 + 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. 4 + -2x + -5x = -5 + 5x + -5x Combine like terms: -2x + -5x = -7x 4 + -7x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -7x = -5 + 0 4 + -7x = -5 Add '-4' to each side of the equation. 4 + -4 + -7x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -5 + -4 -7x = -5 + -4 Combine like terms: -5 + -4 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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