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Simplifying 10x + 13 + -2x + 5 = 3(3x + 5) Reorder the terms: 13 + 5 + 10x + -2x = 3(3x + 5) Combine like terms: 13 + 5 = 18 18 + 10x + -2x = 3(3x + 5) Combine like terms: 10x + -2x = 8x 18 + 8x = 3(3x + 5) Reorder the terms: 18 + 8x = 3(5 + 3x) 18 + 8x = (5 * 3 + 3x * 3) 18 + 8x = (15 + 9x) Solving 18 + 8x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 18 + 8x + -9x = 15 + 9x + -9x Combine like terms: 8x + -9x = -1x 18 + -1x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -1x = 15 + 0 18 + -1x = 15 Add '-18' to each side of the equation. 18 + -18 + -1x = 15 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 15 + -18 -1x = 15 + -18 Combine like terms: 15 + -18 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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