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Simplifying 4(5 + x) + -3(2x + -5) = 13 (5 * 4 + x * 4) + -3(2x + -5) = 13 (20 + 4x) + -3(2x + -5) = 13 Reorder the terms: 20 + 4x + -3(-5 + 2x) = 13 20 + 4x + (-5 * -3 + 2x * -3) = 13 20 + 4x + (15 + -6x) = 13 Reorder the terms: 20 + 15 + 4x + -6x = 13 Combine like terms: 20 + 15 = 35 35 + 4x + -6x = 13 Combine like terms: 4x + -6x = -2x 35 + -2x = 13 Solving 35 + -2x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -2x = 13 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 13 + -35 -2x = 13 + -35 Combine like terms: 13 + -35 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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