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Simplifying -2(3x + 4) + -1(3 + x) = 10 Reorder the terms: -2(4 + 3x) + -1(3 + x) = 10 (4 * -2 + 3x * -2) + -1(3 + x) = 10 (-8 + -6x) + -1(3 + x) = 10 -8 + -6x + (3 * -1 + x * -1) = 10 -8 + -6x + (-3 + -1x) = 10 Reorder the terms: -8 + -3 + -6x + -1x = 10 Combine like terms: -8 + -3 = -11 -11 + -6x + -1x = 10 Combine like terms: -6x + -1x = -7x -11 + -7x = 10 Solving -11 + -7x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -7x = 10 + 11 Combine like terms: -11 + 11 = 0 0 + -7x = 10 + 11 -7x = 10 + 11 Combine like terms: 10 + 11 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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