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Simplifying 3(-5x + 3) = 2(1 + 7x) + 5x Reorder the terms: 3(3 + -5x) = 2(1 + 7x) + 5x (3 * 3 + -5x * 3) = 2(1 + 7x) + 5x (9 + -15x) = 2(1 + 7x) + 5x 9 + -15x = (1 * 2 + 7x * 2) + 5x 9 + -15x = (2 + 14x) + 5x Combine like terms: 14x + 5x = 19x 9 + -15x = 2 + 19x Solving 9 + -15x = 2 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 9 + -15x + -19x = 2 + 19x + -19x Combine like terms: -15x + -19x = -34x 9 + -34x = 2 + 19x + -19x Combine like terms: 19x + -19x = 0 9 + -34x = 2 + 0 9 + -34x = 2 Add '-9' to each side of the equation. 9 + -9 + -34x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -34x = 2 + -9 -34x = 2 + -9 Combine like terms: 2 + -9 = -7 -34x = -7 Divide each side by '-34'. x = 0.2058823529 Simplifying x = 0.2058823529
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