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Simplifying 3(x + -2) = 4(2x + -5) + 2x Reorder the terms: 3(-2 + x) = 4(2x + -5) + 2x (-2 * 3 + x * 3) = 4(2x + -5) + 2x (-6 + 3x) = 4(2x + -5) + 2x Reorder the terms: -6 + 3x = 4(-5 + 2x) + 2x -6 + 3x = (-5 * 4 + 2x * 4) + 2x -6 + 3x = (-20 + 8x) + 2x Combine like terms: 8x + 2x = 10x -6 + 3x = -20 + 10x Solving -6 + 3x = -20 + 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. -6 + 3x + -10x = -20 + 10x + -10x Combine like terms: 3x + -10x = -7x -6 + -7x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -7x = -20 + 0 -6 + -7x = -20 Add '6' to each side of the equation. -6 + 6 + -7x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -20 + 6 -7x = -20 + 6 Combine like terms: -20 + 6 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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