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Simplifying 5(2x + -3) + -4 = 5(x + -2) + -31 Reorder the terms: 5(-3 + 2x) + -4 = 5(x + -2) + -31 (-3 * 5 + 2x * 5) + -4 = 5(x + -2) + -31 (-15 + 10x) + -4 = 5(x + -2) + -31 Reorder the terms: -15 + -4 + 10x = 5(x + -2) + -31 Combine like terms: -15 + -4 = -19 -19 + 10x = 5(x + -2) + -31 Reorder the terms: -19 + 10x = 5(-2 + x) + -31 -19 + 10x = (-2 * 5 + x * 5) + -31 -19 + 10x = (-10 + 5x) + -31 Reorder the terms: -19 + 10x = -10 + -31 + 5x Combine like terms: -10 + -31 = -41 -19 + 10x = -41 + 5x Solving -19 + 10x = -41 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -19 + 10x + -5x = -41 + 5x + -5x Combine like terms: 10x + -5x = 5x -19 + 5x = -41 + 5x + -5x Combine like terms: 5x + -5x = 0 -19 + 5x = -41 + 0 -19 + 5x = -41 Add '19' to each side of the equation. -19 + 19 + 5x = -41 + 19 Combine like terms: -19 + 19 = 0 0 + 5x = -41 + 19 5x = -41 + 19 Combine like terms: -41 + 19 = -22 5x = -22 Divide each side by '5'. x = -4.4 Simplifying x = -4.4
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