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Simplifying -6(2x + -4) + 7x = 5(x + 4) Reorder the terms: -6(-4 + 2x) + 7x = 5(x + 4) (-4 * -6 + 2x * -6) + 7x = 5(x + 4) (24 + -12x) + 7x = 5(x + 4) Combine like terms: -12x + 7x = -5x 24 + -5x = 5(x + 4) Reorder the terms: 24 + -5x = 5(4 + x) 24 + -5x = (4 * 5 + x * 5) 24 + -5x = (20 + 5x) Solving 24 + -5x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + -5x + -5x = 20 + 5x + -5x Combine like terms: -5x + -5x = -10x 24 + -10x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -10x = 20 + 0 24 + -10x = 20 Add '-24' to each side of the equation. 24 + -24 + -10x = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = 20 + -24 -10x = 20 + -24 Combine like terms: 20 + -24 = -4 -10x = -4 Divide each side by '-10'. x = 0.4 Simplifying x = 0.4
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