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Simplifying 6x + 3 = 5(x + 8) + -3 Reorder the terms: 3 + 6x = 5(x + 8) + -3 Reorder the terms: 3 + 6x = 5(8 + x) + -3 3 + 6x = (8 * 5 + x * 5) + -3 3 + 6x = (40 + 5x) + -3 Reorder the terms: 3 + 6x = 40 + -3 + 5x Combine like terms: 40 + -3 = 37 3 + 6x = 37 + 5x Solving 3 + 6x = 37 + 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. 3 + 6x + -5x = 37 + 5x + -5x Combine like terms: 6x + -5x = 1x 3 + 1x = 37 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 1x = 37 + 0 3 + 1x = 37 Add '-3' to each side of the equation. 3 + -3 + 1x = 37 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 37 + -3 1x = 37 + -3 Combine like terms: 37 + -3 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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