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Simplifying 5(x + 6) + -2x = 30(x + 10) Reorder the terms: 5(6 + x) + -2x = 30(x + 10) (6 * 5 + x * 5) + -2x = 30(x + 10) (30 + 5x) + -2x = 30(x + 10) Combine like terms: 5x + -2x = 3x 30 + 3x = 30(x + 10) Reorder the terms: 30 + 3x = 30(10 + x) 30 + 3x = (10 * 30 + x * 30) 30 + 3x = (300 + 30x) Solving 30 + 3x = 300 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 30 + 3x + -30x = 300 + 30x + -30x Combine like terms: 3x + -30x = -27x 30 + -27x = 300 + 30x + -30x Combine like terms: 30x + -30x = 0 30 + -27x = 300 + 0 30 + -27x = 300 Add '-30' to each side of the equation. 30 + -30 + -27x = 300 + -30 Combine like terms: 30 + -30 = 0 0 + -27x = 300 + -30 -27x = 300 + -30 Combine like terms: 300 + -30 = 270 -27x = 270 Divide each side by '-27'. x = -10 Simplifying x = -10
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