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Simplifying 5x + 8(x + 6) = 33 + 8x Reorder the terms: 5x + 8(6 + x) = 33 + 8x 5x + (6 * 8 + x * 8) = 33 + 8x 5x + (48 + 8x) = 33 + 8x Reorder the terms: 48 + 5x + 8x = 33 + 8x Combine like terms: 5x + 8x = 13x 48 + 13x = 33 + 8x Solving 48 + 13x = 33 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 48 + 13x + -8x = 33 + 8x + -8x Combine like terms: 13x + -8x = 5x 48 + 5x = 33 + 8x + -8x Combine like terms: 8x + -8x = 0 48 + 5x = 33 + 0 48 + 5x = 33 Add '-48' to each side of the equation. 48 + -48 + 5x = 33 + -48 Combine like terms: 48 + -48 = 0 0 + 5x = 33 + -48 5x = 33 + -48 Combine like terms: 33 + -48 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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