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Simplifying 3(-3x + 6) + 10x = 8x + -17 Reorder the terms: 3(6 + -3x) + 10x = 8x + -17 (6 * 3 + -3x * 3) + 10x = 8x + -17 (18 + -9x) + 10x = 8x + -17 Combine like terms: -9x + 10x = 1x 18 + 1x = 8x + -17 Reorder the terms: 18 + 1x = -17 + 8x Solving 18 + 1x = -17 + 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. 18 + 1x + -8x = -17 + 8x + -8x Combine like terms: 1x + -8x = -7x 18 + -7x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -7x = -17 + 0 18 + -7x = -17 Add '-18' to each side of the equation. 18 + -18 + -7x = -17 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = -17 + -18 -7x = -17 + -18 Combine like terms: -17 + -18 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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