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Simplifying 10(x + 3) + -20 = 30x + 10 + 2(x + 5) Reorder the terms: 10(3 + x) + -20 = 30x + 10 + 2(x + 5) (3 * 10 + x * 10) + -20 = 30x + 10 + 2(x + 5) (30 + 10x) + -20 = 30x + 10 + 2(x + 5) Reorder the terms: 30 + -20 + 10x = 30x + 10 + 2(x + 5) Combine like terms: 30 + -20 = 10 10 + 10x = 30x + 10 + 2(x + 5) Reorder the terms: 10 + 10x = 30x + 10 + 2(5 + x) 10 + 10x = 30x + 10 + (5 * 2 + x * 2) 10 + 10x = 30x + 10 + (10 + 2x) Reorder the terms: 10 + 10x = 10 + 10 + 30x + 2x Combine like terms: 10 + 10 = 20 10 + 10x = 20 + 30x + 2x Combine like terms: 30x + 2x = 32x 10 + 10x = 20 + 32x Solving 10 + 10x = 20 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 10 + 10x + -32x = 20 + 32x + -32x Combine like terms: 10x + -32x = -22x 10 + -22x = 20 + 32x + -32x Combine like terms: 32x + -32x = 0 10 + -22x = 20 + 0 10 + -22x = 20 Add '-10' to each side of the equation. 10 + -10 + -22x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -22x = 20 + -10 -22x = 20 + -10 Combine like terms: 20 + -10 = 10 -22x = 10 Divide each side by '-22'. x = -0.4545454545 Simplifying x = -0.4545454545
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