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Simplifying 5(-1x + -2) = 10x + 102 Reorder the terms: 5(-2 + -1x) = 10x + 102 (-2 * 5 + -1x * 5) = 10x + 102 (-10 + -5x) = 10x + 102 Reorder the terms: -10 + -5x = 102 + 10x Solving -10 + -5x = 102 + 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. -10 + -5x + -10x = 102 + 10x + -10x Combine like terms: -5x + -10x = -15x -10 + -15x = 102 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + -15x = 102 + 0 -10 + -15x = 102 Add '10' to each side of the equation. -10 + 10 + -15x = 102 + 10 Combine like terms: -10 + 10 = 0 0 + -15x = 102 + 10 -15x = 102 + 10 Combine like terms: 102 + 10 = 112 -15x = 112 Divide each side by '-15'. x = -7.466666667 Simplifying x = -7.466666667
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