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Simplifying 2x + 5 + -4(x + 1) = 5x + 7 Reorder the terms: 2x + 5 + -4(1 + x) = 5x + 7 2x + 5 + (1 * -4 + x * -4) = 5x + 7 2x + 5 + (-4 + -4x) = 5x + 7 Reorder the terms: 5 + -4 + 2x + -4x = 5x + 7 Combine like terms: 5 + -4 = 1 1 + 2x + -4x = 5x + 7 Combine like terms: 2x + -4x = -2x 1 + -2x = 5x + 7 Reorder the terms: 1 + -2x = 7 + 5x Solving 1 + -2x = 7 + 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. 1 + -2x + -5x = 7 + 5x + -5x Combine like terms: -2x + -5x = -7x 1 + -7x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -7x = 7 + 0 1 + -7x = 7 Add '-1' to each side of the equation. 1 + -1 + -7x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 7 + -1 -7x = 7 + -1 Combine like terms: 7 + -1 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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