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Simplifying 3(5x + 2) + -5 = -1x + 33 Reorder the terms: 3(2 + 5x) + -5 = -1x + 33 (2 * 3 + 5x * 3) + -5 = -1x + 33 (6 + 15x) + -5 = -1x + 33 Reorder the terms: 6 + -5 + 15x = -1x + 33 Combine like terms: 6 + -5 = 1 1 + 15x = -1x + 33 Reorder the terms: 1 + 15x = 33 + -1x Solving 1 + 15x = 33 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 15x + x = 33 + -1x + x Combine like terms: 15x + x = 16x 1 + 16x = 33 + -1x + x Combine like terms: -1x + x = 0 1 + 16x = 33 + 0 1 + 16x = 33 Add '-1' to each side of the equation. 1 + -1 + 16x = 33 + -1 Combine like terms: 1 + -1 = 0 0 + 16x = 33 + -1 16x = 33 + -1 Combine like terms: 33 + -1 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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