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Simplifying 5(3x + 1) + -5 = -5(x + 9) + -10 Reorder the terms: 5(1 + 3x) + -5 = -5(x + 9) + -10 (1 * 5 + 3x * 5) + -5 = -5(x + 9) + -10 (5 + 15x) + -5 = -5(x + 9) + -10 Reorder the terms: 5 + -5 + 15x = -5(x + 9) + -10 Combine like terms: 5 + -5 = 0 0 + 15x = -5(x + 9) + -10 15x = -5(x + 9) + -10 Reorder the terms: 15x = -5(9 + x) + -10 15x = (9 * -5 + x * -5) + -10 15x = (-45 + -5x) + -10 Reorder the terms: 15x = -45 + -10 + -5x Combine like terms: -45 + -10 = -55 15x = -55 + -5x Solving 15x = -55 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 15x + 5x = -55 + -5x + 5x Combine like terms: 15x + 5x = 20x 20x = -55 + -5x + 5x Combine like terms: -5x + 5x = 0 20x = -55 + 0 20x = -55 Divide each side by '20'. x = -2.75 Simplifying x = -2.75
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