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Simplifying 5x + 6 + 3x = 5(2x + 8) Reorder the terms: 6 + 5x + 3x = 5(2x + 8) Combine like terms: 5x + 3x = 8x 6 + 8x = 5(2x + 8) Reorder the terms: 6 + 8x = 5(8 + 2x) 6 + 8x = (8 * 5 + 2x * 5) 6 + 8x = (40 + 10x) Solving 6 + 8x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 8x + -10x = 40 + 10x + -10x Combine like terms: 8x + -10x = -2x 6 + -2x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -2x = 40 + 0 6 + -2x = 40 Add '-6' to each side of the equation. 6 + -6 + -2x = 40 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 40 + -6 -2x = 40 + -6 Combine like terms: 40 + -6 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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