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Simplifying 15x + -40 + 40 + 21x + 18 = 48x + 18 + -8x + -20 Reorder the terms: -40 + 40 + 18 + 15x + 21x = 48x + 18 + -8x + -20 Combine like terms: -40 + 40 = 0 0 + 18 + 15x + 21x = 48x + 18 + -8x + -20 18 + 15x + 21x = 48x + 18 + -8x + -20 Combine like terms: 15x + 21x = 36x 18 + 36x = 48x + 18 + -8x + -20 Reorder the terms: 18 + 36x = 18 + -20 + 48x + -8x Combine like terms: 18 + -20 = -2 18 + 36x = -2 + 48x + -8x Combine like terms: 48x + -8x = 40x 18 + 36x = -2 + 40x Solving 18 + 36x = -2 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 18 + 36x + -40x = -2 + 40x + -40x Combine like terms: 36x + -40x = -4x 18 + -4x = -2 + 40x + -40x Combine like terms: 40x + -40x = 0 18 + -4x = -2 + 0 18 + -4x = -2 Add '-18' to each side of the equation. 18 + -18 + -4x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = -2 + -18 -4x = -2 + -18 Combine like terms: -2 + -18 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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