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Simplifying 5(x + -4) + -3(x + -2) = 5x + -15 Reorder the terms: 5(-4 + x) + -3(x + -2) = 5x + -15 (-4 * 5 + x * 5) + -3(x + -2) = 5x + -15 (-20 + 5x) + -3(x + -2) = 5x + -15 Reorder the terms: -20 + 5x + -3(-2 + x) = 5x + -15 -20 + 5x + (-2 * -3 + x * -3) = 5x + -15 -20 + 5x + (6 + -3x) = 5x + -15 Reorder the terms: -20 + 6 + 5x + -3x = 5x + -15 Combine like terms: -20 + 6 = -14 -14 + 5x + -3x = 5x + -15 Combine like terms: 5x + -3x = 2x -14 + 2x = 5x + -15 Reorder the terms: -14 + 2x = -15 + 5x Solving -14 + 2x = -15 + 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. -14 + 2x + -5x = -15 + 5x + -5x Combine like terms: 2x + -5x = -3x -14 + -3x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -3x = -15 + 0 -14 + -3x = -15 Add '14' to each side of the equation. -14 + 14 + -3x = -15 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = -15 + 14 -3x = -15 + 14 Combine like terms: -15 + 14 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333
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