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Simplifying 3(x + 2) + 5x + 3 = 10x + 8 Reorder the terms: 3(2 + x) + 5x + 3 = 10x + 8 (2 * 3 + x * 3) + 5x + 3 = 10x + 8 (6 + 3x) + 5x + 3 = 10x + 8 Reorder the terms: 6 + 3 + 3x + 5x = 10x + 8 Combine like terms: 6 + 3 = 9 9 + 3x + 5x = 10x + 8 Combine like terms: 3x + 5x = 8x 9 + 8x = 10x + 8 Reorder the terms: 9 + 8x = 8 + 10x Solving 9 + 8x = 8 + 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. 9 + 8x + -10x = 8 + 10x + -10x Combine like terms: 8x + -10x = -2x 9 + -2x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -2x = 8 + 0 9 + -2x = 8 Add '-9' to each side of the equation. 9 + -9 + -2x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 8 + -9 -2x = 8 + -9 Combine like terms: 8 + -9 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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