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Simplifying -1x + 18 + 3x + 6 = 6x + 48 Reorder the terms: 18 + 6 + -1x + 3x = 6x + 48 Combine like terms: 18 + 6 = 24 24 + -1x + 3x = 6x + 48 Combine like terms: -1x + 3x = 2x 24 + 2x = 6x + 48 Reorder the terms: 24 + 2x = 48 + 6x Solving 24 + 2x = 48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 2x + -6x = 48 + 6x + -6x Combine like terms: 2x + -6x = -4x 24 + -4x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -4x = 48 + 0 24 + -4x = 48 Add '-24' to each side of the equation. 24 + -24 + -4x = 48 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 48 + -24 -4x = 48 + -24 Combine like terms: 48 + -24 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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