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Simplifying 5(3 + -2x) = -1(4x + 1) (3 * 5 + -2x * 5) = -1(4x + 1) (15 + -10x) = -1(4x + 1) Reorder the terms: 15 + -10x = -1(1 + 4x) 15 + -10x = (1 * -1 + 4x * -1) 15 + -10x = (-1 + -4x) Solving 15 + -10x = -1 + -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 = -1 + -4x + 4x Combine like terms: -10x + 4x = -6x 15 + -6x = -1 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + -6x = -1 + 0 15 + -6x = -1 Add '-15' to each side of the equation. 15 + -15 + -6x = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = -1 + -15 -6x = -1 + -15 Combine like terms: -1 + -15 = -16 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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