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Simplifying 4(5x + -2) + -6x = 5(2x + -4) Reorder the terms: 4(-2 + 5x) + -6x = 5(2x + -4) (-2 * 4 + 5x * 4) + -6x = 5(2x + -4) (-8 + 20x) + -6x = 5(2x + -4) Combine like terms: 20x + -6x = 14x -8 + 14x = 5(2x + -4) Reorder the terms: -8 + 14x = 5(-4 + 2x) -8 + 14x = (-4 * 5 + 2x * 5) -8 + 14x = (-20 + 10x) Solving -8 + 14x = -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. -8 + 14x + -10x = -20 + 10x + -10x Combine like terms: 14x + -10x = 4x -8 + 4x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 4x = -20 + 0 -8 + 4x = -20 Add '8' to each side of the equation. -8 + 8 + 4x = -20 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -20 + 8 4x = -20 + 8 Combine like terms: -20 + 8 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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