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Simplifying 5(x + 2) + -3(2x + -4) = 4x + 8 Reorder the terms: 5(2 + x) + -3(2x + -4) = 4x + 8 (2 * 5 + x * 5) + -3(2x + -4) = 4x + 8 (10 + 5x) + -3(2x + -4) = 4x + 8 Reorder the terms: 10 + 5x + -3(-4 + 2x) = 4x + 8 10 + 5x + (-4 * -3 + 2x * -3) = 4x + 8 10 + 5x + (12 + -6x) = 4x + 8 Reorder the terms: 10 + 12 + 5x + -6x = 4x + 8 Combine like terms: 10 + 12 = 22 22 + 5x + -6x = 4x + 8 Combine like terms: 5x + -6x = -1x 22 + -1x = 4x + 8 Reorder the terms: 22 + -1x = 8 + 4x Solving 22 + -1x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 22 + -1x + -4x = 8 + 4x + -4x Combine like terms: -1x + -4x = -5x 22 + -5x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + -5x = 8 + 0 22 + -5x = 8 Add '-22' to each side of the equation. 22 + -22 + -5x = 8 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = 8 + -22 -5x = 8 + -22 Combine like terms: 8 + -22 = -14 -5x = -14 Divide each side by '-5'. x = 2.8 Simplifying x = 2.8
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