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Simplifying 2(2x + -5) + -3(5x + -4) = 10x + -8 Reorder the terms: 2(-5 + 2x) + -3(5x + -4) = 10x + -8 (-5 * 2 + 2x * 2) + -3(5x + -4) = 10x + -8 (-10 + 4x) + -3(5x + -4) = 10x + -8 Reorder the terms: -10 + 4x + -3(-4 + 5x) = 10x + -8 -10 + 4x + (-4 * -3 + 5x * -3) = 10x + -8 -10 + 4x + (12 + -15x) = 10x + -8 Reorder the terms: -10 + 12 + 4x + -15x = 10x + -8 Combine like terms: -10 + 12 = 2 2 + 4x + -15x = 10x + -8 Combine like terms: 4x + -15x = -11x 2 + -11x = 10x + -8 Reorder the terms: 2 + -11x = -8 + 10x Solving 2 + -11x = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + -11x + -10x = -8 + 10x + -10x Combine like terms: -11x + -10x = -21x 2 + -21x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -21x = -8 + 0 2 + -21x = -8 Add '-2' to each side of the equation. 2 + -2 + -21x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -21x = -8 + -2 -21x = -8 + -2 Combine like terms: -8 + -2 = -10 -21x = -10 Divide each side by '-21'. x = 0.4761904762 Simplifying x = 0.4761904762
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