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Simplifying -40x + -45 + 63x + 27 = -1x + 3x + 9 Reorder the terms: -45 + 27 + -40x + 63x = -1x + 3x + 9 Combine like terms: -45 + 27 = -18 -18 + -40x + 63x = -1x + 3x + 9 Combine like terms: -40x + 63x = 23x -18 + 23x = -1x + 3x + 9 Reorder the terms: -18 + 23x = 9 + -1x + 3x Combine like terms: -1x + 3x = 2x -18 + 23x = 9 + 2x Solving -18 + 23x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 23x + -2x = 9 + 2x + -2x Combine like terms: 23x + -2x = 21x -18 + 21x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 21x = 9 + 0 -18 + 21x = 9 Add '18' to each side of the equation. -18 + 18 + 21x = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 21x = 9 + 18 21x = 9 + 18 Combine like terms: 9 + 18 = 27 21x = 27 Divide each side by '21'. x = 1.285714286 Simplifying x = 1.285714286
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