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Simplifying 5(3 + -2x) = 4(5 + -1x) (3 * 5 + -2x * 5) = 4(5 + -1x) (15 + -10x) = 4(5 + -1x) 15 + -10x = (5 * 4 + -1x * 4) 15 + -10x = (20 + -4x) Solving 15 + -10x = 20 + -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. 15 + -10x + 4x = 20 + -4x + 4x Combine like terms: -10x + 4x = -6x 15 + -6x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + -6x = 20 + 0 15 + -6x = 20 Add '-15' to each side of the equation. 15 + -15 + -6x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = 20 + -15 -6x = 20 + -15 Combine like terms: 20 + -15 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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