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Simplifying 2(3x + -4) + 10 = 5(x + 4) Reorder the terms: 2(-4 + 3x) + 10 = 5(x + 4) (-4 * 2 + 3x * 2) + 10 = 5(x + 4) (-8 + 6x) + 10 = 5(x + 4) Reorder the terms: -8 + 10 + 6x = 5(x + 4) Combine like terms: -8 + 10 = 2 2 + 6x = 5(x + 4) Reorder the terms: 2 + 6x = 5(4 + x) 2 + 6x = (4 * 5 + x * 5) 2 + 6x = (20 + 5x) Solving 2 + 6x = 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. 2 + 6x + -5x = 20 + 5x + -5x Combine like terms: 6x + -5x = 1x 2 + 1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 1x = 20 + 0 2 + 1x = 20 Add '-2' to each side of the equation. 2 + -2 + 1x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 20 + -2 1x = 20 + -2 Combine like terms: 20 + -2 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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