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Simplifying 5x + 8 = 4(x + 6) + -10 Reorder the terms: 8 + 5x = 4(x + 6) + -10 Reorder the terms: 8 + 5x = 4(6 + x) + -10 8 + 5x = (6 * 4 + x * 4) + -10 8 + 5x = (24 + 4x) + -10 Reorder the terms: 8 + 5x = 24 + -10 + 4x Combine like terms: 24 + -10 = 14 8 + 5x = 14 + 4x Solving 8 + 5x = 14 + 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 = 14 + 4x + -4x Combine like terms: 5x + -4x = 1x 8 + 1x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 1x = 14 + 0 8 + 1x = 14 Add '-8' to each side of the equation. 8 + -8 + 1x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 14 + -8 1x = 14 + -8 Combine like terms: 14 + -8 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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