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Simplifying 7x + 3 = 6(x + 8) + -8 Reorder the terms: 3 + 7x = 6(x + 8) + -8 Reorder the terms: 3 + 7x = 6(8 + x) + -8 3 + 7x = (8 * 6 + x * 6) + -8 3 + 7x = (48 + 6x) + -8 Reorder the terms: 3 + 7x = 48 + -8 + 6x Combine like terms: 48 + -8 = 40 3 + 7x = 40 + 6x Solving 3 + 7x = 40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 7x + -6x = 40 + 6x + -6x Combine like terms: 7x + -6x = 1x 3 + 1x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 1x = 40 + 0 3 + 1x = 40 Add '-3' to each side of the equation. 3 + -3 + 1x = 40 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 40 + -3 1x = 40 + -3 Combine like terms: 40 + -3 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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