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Simplifying 4(x + 5) + -5(2x + -1) = x + -24 Reorder the terms: 4(5 + x) + -5(2x + -1) = x + -24 (5 * 4 + x * 4) + -5(2x + -1) = x + -24 (20 + 4x) + -5(2x + -1) = x + -24 Reorder the terms: 20 + 4x + -5(-1 + 2x) = x + -24 20 + 4x + (-1 * -5 + 2x * -5) = x + -24 20 + 4x + (5 + -10x) = x + -24 Reorder the terms: 20 + 5 + 4x + -10x = x + -24 Combine like terms: 20 + 5 = 25 25 + 4x + -10x = x + -24 Combine like terms: 4x + -10x = -6x 25 + -6x = x + -24 Reorder the terms: 25 + -6x = -24 + x Solving 25 + -6x = -24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 25 + -6x + -1x = -24 + x + -1x Combine like terms: -6x + -1x = -7x 25 + -7x = -24 + x + -1x Combine like terms: x + -1x = 0 25 + -7x = -24 + 0 25 + -7x = -24 Add '-25' to each side of the equation. 25 + -25 + -7x = -24 + -25 Combine like terms: 25 + -25 = 0 0 + -7x = -24 + -25 -7x = -24 + -25 Combine like terms: -24 + -25 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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