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Simplifying 4(2x + -5) = 2(3x + -4) Reorder the terms: 4(-5 + 2x) = 2(3x + -4) (-5 * 4 + 2x * 4) = 2(3x + -4) (-20 + 8x) = 2(3x + -4) Reorder the terms: -20 + 8x = 2(-4 + 3x) -20 + 8x = (-4 * 2 + 3x * 2) -20 + 8x = (-8 + 6x) Solving -20 + 8x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 8x + -6x = -8 + 6x + -6x Combine like terms: 8x + -6x = 2x -20 + 2x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 2x = -8 + 0 -20 + 2x = -8 Add '20' to each side of the equation. -20 + 20 + 2x = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = -8 + 20 2x = -8 + 20 Combine like terms: -8 + 20 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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