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Simplifying 5 + 3(x + 8) = 6(x + -3) + -5 Reorder the terms: 5 + 3(8 + x) = 6(x + -3) + -5 5 + (8 * 3 + x * 3) = 6(x + -3) + -5 5 + (24 + 3x) = 6(x + -3) + -5 Combine like terms: 5 + 24 = 29 29 + 3x = 6(x + -3) + -5 Reorder the terms: 29 + 3x = 6(-3 + x) + -5 29 + 3x = (-3 * 6 + x * 6) + -5 29 + 3x = (-18 + 6x) + -5 Reorder the terms: 29 + 3x = -18 + -5 + 6x Combine like terms: -18 + -5 = -23 29 + 3x = -23 + 6x Solving 29 + 3x = -23 + 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. 29 + 3x + -6x = -23 + 6x + -6x Combine like terms: 3x + -6x = -3x 29 + -3x = -23 + 6x + -6x Combine like terms: 6x + -6x = 0 29 + -3x = -23 + 0 29 + -3x = -23 Add '-29' to each side of the equation. 29 + -29 + -3x = -23 + -29 Combine like terms: 29 + -29 = 0 0 + -3x = -23 + -29 -3x = -23 + -29 Combine like terms: -23 + -29 = -52 -3x = -52 Divide each side by '-3'. x = 17.33333333 Simplifying x = 17.33333333
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