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Simplifying 3x + -2(x + 5) = 9 + 3x + -4x + 18 Reorder the terms: 3x + -2(5 + x) = 9 + 3x + -4x + 18 3x + (5 * -2 + x * -2) = 9 + 3x + -4x + 18 3x + (-10 + -2x) = 9 + 3x + -4x + 18 Reorder the terms: -10 + 3x + -2x = 9 + 3x + -4x + 18 Combine like terms: 3x + -2x = 1x -10 + 1x = 9 + 3x + -4x + 18 Reorder the terms: -10 + 1x = 9 + 18 + 3x + -4x Combine like terms: 9 + 18 = 27 -10 + 1x = 27 + 3x + -4x Combine like terms: 3x + -4x = -1x -10 + 1x = 27 + -1x Solving -10 + 1x = 27 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 1x + x = 27 + -1x + x Combine like terms: 1x + x = 2x -10 + 2x = 27 + -1x + x Combine like terms: -1x + x = 0 -10 + 2x = 27 + 0 -10 + 2x = 27 Add '10' to each side of the equation. -10 + 10 + 2x = 27 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 27 + 10 2x = 27 + 10 Combine like terms: 27 + 10 = 37 2x = 37 Divide each side by '2'. x = 18.5 Simplifying x = 18.5
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