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Simplifying 2(3 + -5x) = 9 + -3(x + -4) (3 * 2 + -5x * 2) = 9 + -3(x + -4) (6 + -10x) = 9 + -3(x + -4) Reorder the terms: 6 + -10x = 9 + -3(-4 + x) 6 + -10x = 9 + (-4 * -3 + x * -3) 6 + -10x = 9 + (12 + -3x) Combine like terms: 9 + 12 = 21 6 + -10x = 21 + -3x Solving 6 + -10x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + -10x + 3x = 21 + -3x + 3x Combine like terms: -10x + 3x = -7x 6 + -7x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + -7x = 21 + 0 6 + -7x = 21 Add '-6' to each side of the equation. 6 + -6 + -7x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 21 + -6 -7x = 21 + -6 Combine like terms: 21 + -6 = 15 -7x = 15 Divide each side by '-7'. x = -2.142857143 Simplifying x = -2.142857143
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