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Simplifying 5x + -8 = 4(x + 8) + -2 Reorder the terms: -8 + 5x = 4(x + 8) + -2 Reorder the terms: -8 + 5x = 4(8 + x) + -2 -8 + 5x = (8 * 4 + x * 4) + -2 -8 + 5x = (32 + 4x) + -2 Reorder the terms: -8 + 5x = 32 + -2 + 4x Combine like terms: 32 + -2 = 30 -8 + 5x = 30 + 4x Solving -8 + 5x = 30 + 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. -8 + 5x + -4x = 30 + 4x + -4x Combine like terms: 5x + -4x = 1x -8 + 1x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 1x = 30 + 0 -8 + 1x = 30 Add '8' to each side of the equation. -8 + 8 + 1x = 30 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 30 + 8 1x = 30 + 8 Combine like terms: 30 + 8 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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