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Simplifying -5(3x + -2) + 4(5x + -2) = 2x + -10 Reorder the terms: -5(-2 + 3x) + 4(5x + -2) = 2x + -10 (-2 * -5 + 3x * -5) + 4(5x + -2) = 2x + -10 (10 + -15x) + 4(5x + -2) = 2x + -10 Reorder the terms: 10 + -15x + 4(-2 + 5x) = 2x + -10 10 + -15x + (-2 * 4 + 5x * 4) = 2x + -10 10 + -15x + (-8 + 20x) = 2x + -10 Reorder the terms: 10 + -8 + -15x + 20x = 2x + -10 Combine like terms: 10 + -8 = 2 2 + -15x + 20x = 2x + -10 Combine like terms: -15x + 20x = 5x 2 + 5x = 2x + -10 Reorder the terms: 2 + 5x = -10 + 2x Solving 2 + 5x = -10 + 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. 2 + 5x + -2x = -10 + 2x + -2x Combine like terms: 5x + -2x = 3x 2 + 3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 3x = -10 + 0 2 + 3x = -10 Add '-2' to each side of the equation. 2 + -2 + 3x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -10 + -2 3x = -10 + -2 Combine like terms: -10 + -2 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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