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Simplifying -2(9x + 5) + -9(x + 3) = 9x + x Reorder the terms: -2(5 + 9x) + -9(x + 3) = 9x + x (5 * -2 + 9x * -2) + -9(x + 3) = 9x + x (-10 + -18x) + -9(x + 3) = 9x + x Reorder the terms: -10 + -18x + -9(3 + x) = 9x + x -10 + -18x + (3 * -9 + x * -9) = 9x + x -10 + -18x + (-27 + -9x) = 9x + x Reorder the terms: -10 + -27 + -18x + -9x = 9x + x Combine like terms: -10 + -27 = -37 -37 + -18x + -9x = 9x + x Combine like terms: -18x + -9x = -27x -37 + -27x = 9x + x Combine like terms: 9x + x = 10x -37 + -27x = 10x Solving -37 + -27x = 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. -37 + -27x + -10x = 10x + -10x Combine like terms: -27x + -10x = -37x -37 + -37x = 10x + -10x Combine like terms: 10x + -10x = 0 -37 + -37x = 0 Add '37' to each side of the equation. -37 + 37 + -37x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -37x = 0 + 37 -37x = 0 + 37 Combine like terms: 0 + 37 = 37 -37x = 37 Divide each side by '-37'. x = -1 Simplifying x = -1
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