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Simplifying 3x + -18 = 4x + 8 + -21 Reorder the terms: -18 + 3x = 4x + 8 + -21 Reorder the terms: -18 + 3x = 8 + -21 + 4x Combine like terms: 8 + -21 = -13 -18 + 3x = -13 + 4x Solving -18 + 3x = -13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 3x + -4x = -13 + 4x + -4x Combine like terms: 3x + -4x = -1x -18 + -1x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + -1x = -13 + 0 -18 + -1x = -13 Add '18' to each side of the equation. -18 + 18 + -1x = -13 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = -13 + 18 -1x = -13 + 18 Combine like terms: -13 + 18 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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