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Simplifying 2(5x + -4) = 3(4x + -6) Reorder the terms: 2(-4 + 5x) = 3(4x + -6) (-4 * 2 + 5x * 2) = 3(4x + -6) (-8 + 10x) = 3(4x + -6) Reorder the terms: -8 + 10x = 3(-6 + 4x) -8 + 10x = (-6 * 3 + 4x * 3) -8 + 10x = (-18 + 12x) Solving -8 + 10x = -18 + 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 + 10x + -12x = -18 + 12x + -12x Combine like terms: 10x + -12x = -2x -8 + -2x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -2x = -18 + 0 -8 + -2x = -18 Add '8' to each side of the equation. -8 + 8 + -2x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -18 + 8 -2x = -18 + 8 Combine like terms: -18 + 8 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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