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Simplifying 2(5x + -4) + -10x = 6x + 3(2x + -5) Reorder the terms: 2(-4 + 5x) + -10x = 6x + 3(2x + -5) (-4 * 2 + 5x * 2) + -10x = 6x + 3(2x + -5) (-8 + 10x) + -10x = 6x + 3(2x + -5) Combine like terms: 10x + -10x = 0 -8 + 0 = 6x + 3(2x + -5) -8 = 6x + 3(2x + -5) Reorder the terms: -8 = 6x + 3(-5 + 2x) -8 = 6x + (-5 * 3 + 2x * 3) -8 = 6x + (-15 + 6x) Reorder the terms: -8 = -15 + 6x + 6x Combine like terms: 6x + 6x = 12x -8 = -15 + 12x Solving -8 = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + -12x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -12x = -15 + 0 -8 + -12x = -15 Add '8' to each side of the equation. -8 + 8 + -12x = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = -15 + 8 -12x = -15 + 8 Combine like terms: -15 + 8 = -7 -12x = -7 Divide each side by '-12'. x = 0.5833333333 Simplifying x = 0.5833333333
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