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Simplifying 3(2x + -3) + 17 = (5x + 1) + 2x Reorder the terms: 3(-3 + 2x) + 17 = (5x + 1) + 2x (-3 * 3 + 2x * 3) + 17 = (5x + 1) + 2x (-9 + 6x) + 17 = (5x + 1) + 2x Reorder the terms: -9 + 17 + 6x = (5x + 1) + 2x Combine like terms: -9 + 17 = 8 8 + 6x = (5x + 1) + 2x Reorder the terms: 8 + 6x = (1 + 5x) + 2x Remove parenthesis around (1 + 5x) 8 + 6x = 1 + 5x + 2x Combine like terms: 5x + 2x = 7x 8 + 6x = 1 + 7x Solving 8 + 6x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 6x + -7x = 1 + 7x + -7x Combine like terms: 6x + -7x = -1x 8 + -1x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -1x = 1 + 0 8 + -1x = 1 Add '-8' to each side of the equation. 8 + -8 + -1x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 1 + -8 -1x = 1 + -8 Combine like terms: 1 + -8 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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