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Simplifying 2(5x + -6) = 4(3 + x) Reorder the terms: 2(-6 + 5x) = 4(3 + x) (-6 * 2 + 5x * 2) = 4(3 + x) (-12 + 10x) = 4(3 + x) -12 + 10x = (3 * 4 + x * 4) -12 + 10x = (12 + 4x) Solving -12 + 10x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 10x + -4x = 12 + 4x + -4x Combine like terms: 10x + -4x = 6x -12 + 6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 6x = 12 + 0 -12 + 6x = 12 Add '12' to each side of the equation. -12 + 12 + 6x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 12 + 12 6x = 12 + 12 Combine like terms: 12 + 12 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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