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Simplifying 10 * 3(x + 1) = 10(2x + -5) Reorder the terms: 10 * 3(1 + x) = 10(2x + -5) Multiply 10 * 3 30(1 + x) = 10(2x + -5) (1 * 30 + x * 30) = 10(2x + -5) (30 + 30x) = 10(2x + -5) Reorder the terms: 30 + 30x = 10(-5 + 2x) 30 + 30x = (-5 * 10 + 2x * 10) 30 + 30x = (-50 + 20x) Solving 30 + 30x = -50 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 30 + 30x + -20x = -50 + 20x + -20x Combine like terms: 30x + -20x = 10x 30 + 10x = -50 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + 10x = -50 + 0 30 + 10x = -50 Add '-30' to each side of the equation. 30 + -30 + 10x = -50 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = -50 + -30 10x = -50 + -30 Combine like terms: -50 + -30 = -80 10x = -80 Divide each side by '10'. x = -8 Simplifying x = -8
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