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Simplifying 5x + -10 = 4(x + 8) + 6 Reorder the terms: -10 + 5x = 4(x + 8) + 6 Reorder the terms: -10 + 5x = 4(8 + x) + 6 -10 + 5x = (8 * 4 + x * 4) + 6 -10 + 5x = (32 + 4x) + 6 Reorder the terms: -10 + 5x = 32 + 6 + 4x Combine like terms: 32 + 6 = 38 -10 + 5x = 38 + 4x Solving -10 + 5x = 38 + 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. -10 + 5x + -4x = 38 + 4x + -4x Combine like terms: 5x + -4x = 1x -10 + 1x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 1x = 38 + 0 -10 + 1x = 38 Add '10' to each side of the equation. -10 + 10 + 1x = 38 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 38 + 10 1x = 38 + 10 Combine like terms: 38 + 10 = 48 1x = 48 Divide each side by '1'. x = 48 Simplifying x = 48
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