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Simplifying 5(3x + 1) + -5x = -5(x + 9) + -10 Reorder the terms: 5(1 + 3x) + -5x = -5(x + 9) + -10 (1 * 5 + 3x * 5) + -5x = -5(x + 9) + -10 (5 + 15x) + -5x = -5(x + 9) + -10 Combine like terms: 15x + -5x = 10x 5 + 10x = -5(x + 9) + -10 Reorder the terms: 5 + 10x = -5(9 + x) + -10 5 + 10x = (9 * -5 + x * -5) + -10 5 + 10x = (-45 + -5x) + -10 Reorder the terms: 5 + 10x = -45 + -10 + -5x Combine like terms: -45 + -10 = -55 5 + 10x = -55 + -5x Solving 5 + 10x = -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. 5 + 10x + 5x = -55 + -5x + 5x Combine like terms: 10x + 5x = 15x 5 + 15x = -55 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 15x = -55 + 0 5 + 15x = -55 Add '-5' to each side of the equation. 5 + -5 + 15x = -55 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = -55 + -5 15x = -55 + -5 Combine like terms: -55 + -5 = -60 15x = -60 Divide each side by '15'. x = -4 Simplifying x = -4
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