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Simplifying 4(x + -5) + 2 = 1(x + 9) + 2x Reorder the terms: 4(-5 + x) + 2 = 1(x + 9) + 2x (-5 * 4 + x * 4) + 2 = 1(x + 9) + 2x (-20 + 4x) + 2 = 1(x + 9) + 2x Reorder the terms: -20 + 2 + 4x = 1(x + 9) + 2x Combine like terms: -20 + 2 = -18 -18 + 4x = 1(x + 9) + 2x Reorder the terms: -18 + 4x = 1(9 + x) + 2x -18 + 4x = (9 * 1 + x * 1) + 2x -18 + 4x = (9 + 1x) + 2x Combine like terms: 1x + 2x = 3x -18 + 4x = 9 + 3x Solving -18 + 4x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 4x + -3x = 9 + 3x + -3x Combine like terms: 4x + -3x = 1x -18 + 1x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 1x = 9 + 0 -18 + 1x = 9 Add '18' to each side of the equation. -18 + 18 + 1x = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 9 + 18 1x = 9 + 18 Combine like terms: 9 + 18 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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