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Simplifying 4(x + 5) + -5(x + 3) = x + -5 Reorder the terms: 4(5 + x) + -5(x + 3) = x + -5 (5 * 4 + x * 4) + -5(x + 3) = x + -5 (20 + 4x) + -5(x + 3) = x + -5 Reorder the terms: 20 + 4x + -5(3 + x) = x + -5 20 + 4x + (3 * -5 + x * -5) = x + -5 20 + 4x + (-15 + -5x) = x + -5 Reorder the terms: 20 + -15 + 4x + -5x = x + -5 Combine like terms: 20 + -15 = 5 5 + 4x + -5x = x + -5 Combine like terms: 4x + -5x = -1x 5 + -1x = x + -5 Reorder the terms: 5 + -1x = -5 + x Solving 5 + -1x = -5 + 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. 5 + -1x + -1x = -5 + x + -1x Combine like terms: -1x + -1x = -2x 5 + -2x = -5 + x + -1x Combine like terms: x + -1x = 0 5 + -2x = -5 + 0 5 + -2x = -5 Add '-5' to each side of the equation. 5 + -5 + -2x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -5 + -5 -2x = -5 + -5 Combine like terms: -5 + -5 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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