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Simplifying 30 + 4(3 + 5x) = -2(x + -12) 30 + (3 * 4 + 5x * 4) = -2(x + -12) 30 + (12 + 20x) = -2(x + -12) Combine like terms: 30 + 12 = 42 42 + 20x = -2(x + -12) Reorder the terms: 42 + 20x = -2(-12 + x) 42 + 20x = (-12 * -2 + x * -2) 42 + 20x = (24 + -2x) Solving 42 + 20x = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 42 + 20x + 2x = 24 + -2x + 2x Combine like terms: 20x + 2x = 22x 42 + 22x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + 22x = 24 + 0 42 + 22x = 24 Add '-42' to each side of the equation. 42 + -42 + 22x = 24 + -42 Combine like terms: 42 + -42 = 0 0 + 22x = 24 + -42 22x = 24 + -42 Combine like terms: 24 + -42 = -18 22x = -18 Divide each side by '22'. x = -0.8181818182 Simplifying x = -0.8181818182
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