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Simplifying 4(2.5x + -2) = 2(6x + -5) + 2 Reorder the terms: 4(-2 + 2.5x) = 2(6x + -5) + 2 (-2 * 4 + 2.5x * 4) = 2(6x + -5) + 2 (-8 + 10x) = 2(6x + -5) + 2 Reorder the terms: -8 + 10x = 2(-5 + 6x) + 2 -8 + 10x = (-5 * 2 + 6x * 2) + 2 -8 + 10x = (-10 + 12x) + 2 Reorder the terms: -8 + 10x = -10 + 2 + 12x Combine like terms: -10 + 2 = -8 -8 + 10x = -8 + 12x Add '8' to each side of the equation. -8 + 8 + 10x = -8 + 8 + 12x Combine like terms: -8 + 8 = 0 0 + 10x = -8 + 8 + 12x 10x = -8 + 8 + 12x Combine like terms: -8 + 8 = 0 10x = 0 + 12x 10x = 12x Solving 10x = 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. 10x + -12x = 12x + -12x Combine like terms: 10x + -12x = -2x -2x = 12x + -12x Combine like terms: 12x + -12x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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