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Simplifying 5(2x + -2) + -2(9x) = 1 Reorder the terms: 5(-2 + 2x) + -2(9x) = 1 (-2 * 5 + 2x * 5) + -2(9x) = 1 (-10 + 10x) + -2(9x) = 1 Remove parenthesis around (9x) -10 + 10x + -2 * 9x = 1 Multiply -2 * 9 -10 + 10x + -18x = 1 Combine like terms: 10x + -18x = -8x -10 + -8x = 1 Solving -10 + -8x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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 = 11 -8x = 11 Divide each side by '-8'. x = -1.375 Simplifying x = -1.375
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