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Simplifying 6x + -10(1 + -2x) = 30x + -15(x + 3) 6x + (1 * -10 + -2x * -10) = 30x + -15(x + 3) 6x + (-10 + 20x) = 30x + -15(x + 3) Reorder the terms: -10 + 6x + 20x = 30x + -15(x + 3) Combine like terms: 6x + 20x = 26x -10 + 26x = 30x + -15(x + 3) Reorder the terms: -10 + 26x = 30x + -15(3 + x) -10 + 26x = 30x + (3 * -15 + x * -15) -10 + 26x = 30x + (-45 + -15x) Reorder the terms: -10 + 26x = -45 + 30x + -15x Combine like terms: 30x + -15x = 15x -10 + 26x = -45 + 15x Solving -10 + 26x = -45 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -10 + 26x + -15x = -45 + 15x + -15x Combine like terms: 26x + -15x = 11x -10 + 11x = -45 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + 11x = -45 + 0 -10 + 11x = -45 Add '10' to each side of the equation. -10 + 10 + 11x = -45 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = -45 + 10 11x = -45 + 10 Combine like terms: -45 + 10 = -35 11x = -35 Divide each side by '11'. x = -3.181818182 Simplifying x = -3.181818182
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