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Simplifying 10 + -3(x + -5) = 2x + -4(1 + 3x) Reorder the terms: 10 + -3(-5 + x) = 2x + -4(1 + 3x) 10 + (-5 * -3 + x * -3) = 2x + -4(1 + 3x) 10 + (15 + -3x) = 2x + -4(1 + 3x) Combine like terms: 10 + 15 = 25 25 + -3x = 2x + -4(1 + 3x) 25 + -3x = 2x + (1 * -4 + 3x * -4) 25 + -3x = 2x + (-4 + -12x) Reorder the terms: 25 + -3x = -4 + 2x + -12x Combine like terms: 2x + -12x = -10x 25 + -3x = -4 + -10x Solving 25 + -3x = -4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 25 + -3x + 10x = -4 + -10x + 10x Combine like terms: -3x + 10x = 7x 25 + 7x = -4 + -10x + 10x Combine like terms: -10x + 10x = 0 25 + 7x = -4 + 0 25 + 7x = -4 Add '-25' to each side of the equation. 25 + -25 + 7x = -4 + -25 Combine like terms: 25 + -25 = 0 0 + 7x = -4 + -25 7x = -4 + -25 Combine like terms: -4 + -25 = -29 7x = -29 Divide each side by '7'. x = -4.142857143 Simplifying x = -4.142857143
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