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Simplifying 15 + -1(5x + -4) = 19 + -1(2x + 4) Reorder the terms: 15 + -1(-4 + 5x) = 19 + -1(2x + 4) 15 + (-4 * -1 + 5x * -1) = 19 + -1(2x + 4) 15 + (4 + -5x) = 19 + -1(2x + 4) Combine like terms: 15 + 4 = 19 19 + -5x = 19 + -1(2x + 4) Reorder the terms: 19 + -5x = 19 + -1(4 + 2x) 19 + -5x = 19 + (4 * -1 + 2x * -1) 19 + -5x = 19 + (-4 + -2x) Combine like terms: 19 + -4 = 15 19 + -5x = 15 + -2x Solving 19 + -5x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 19 + -5x + 2x = 15 + -2x + 2x Combine like terms: -5x + 2x = -3x 19 + -3x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + -3x = 15 + 0 19 + -3x = 15 Add '-19' to each side of the equation. 19 + -19 + -3x = 15 + -19 Combine like terms: 19 + -19 = 0 0 + -3x = 15 + -19 -3x = 15 + -19 Combine like terms: 15 + -19 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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