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Simplifying 2(-5 + -1x) = 3(2 + 2x) + -7 (-5 * 2 + -1x * 2) = 3(2 + 2x) + -7 (-10 + -2x) = 3(2 + 2x) + -7 -10 + -2x = (2 * 3 + 2x * 3) + -7 -10 + -2x = (6 + 6x) + -7 Reorder the terms: -10 + -2x = 6 + -7 + 6x Combine like terms: 6 + -7 = -1 -10 + -2x = -1 + 6x Solving -10 + -2x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + -2x + -6x = -1 + 6x + -6x Combine like terms: -2x + -6x = -8x -10 + -8x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -8x = -1 + 0 -10 + -8x = -1 Add '10' to each side of the equation. -10 + 10 + -8x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = -1 + 10 -8x = -1 + 10 Combine like terms: -1 + 10 = 9 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125
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