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Simplifying -5(3x + -4) = 4 + -1(x + -2) Reorder the terms: -5(-4 + 3x) = 4 + -1(x + -2) (-4 * -5 + 3x * -5) = 4 + -1(x + -2) (20 + -15x) = 4 + -1(x + -2) Reorder the terms: 20 + -15x = 4 + -1(-2 + x) 20 + -15x = 4 + (-2 * -1 + x * -1) 20 + -15x = 4 + (2 + -1x) Combine like terms: 4 + 2 = 6 20 + -15x = 6 + -1x Solving 20 + -15x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 20 + -15x + x = 6 + -1x + x Combine like terms: -15x + x = -14x 20 + -14x = 6 + -1x + x Combine like terms: -1x + x = 0 20 + -14x = 6 + 0 20 + -14x = 6 Add '-20' to each side of the equation. 20 + -20 + -14x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -14x = 6 + -20 -14x = 6 + -20 Combine like terms: 6 + -20 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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