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Simplifying 20 + -9(2x + -5) = 15 + -1(4x + -1) Reorder the terms: 20 + -9(-5 + 2x) = 15 + -1(4x + -1) 20 + (-5 * -9 + 2x * -9) = 15 + -1(4x + -1) 20 + (45 + -18x) = 15 + -1(4x + -1) Combine like terms: 20 + 45 = 65 65 + -18x = 15 + -1(4x + -1) Reorder the terms: 65 + -18x = 15 + -1(-1 + 4x) 65 + -18x = 15 + (-1 * -1 + 4x * -1) 65 + -18x = 15 + (1 + -4x) Combine like terms: 15 + 1 = 16 65 + -18x = 16 + -4x Solving 65 + -18x = 16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 65 + -18x + 4x = 16 + -4x + 4x Combine like terms: -18x + 4x = -14x 65 + -14x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 65 + -14x = 16 + 0 65 + -14x = 16 Add '-65' to each side of the equation. 65 + -65 + -14x = 16 + -65 Combine like terms: 65 + -65 = 0 0 + -14x = 16 + -65 -14x = 16 + -65 Combine like terms: 16 + -65 = -49 -14x = -49 Divide each side by '-14'. x = 3.5 Simplifying x = 3.5
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