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Simplifying -1x + 12 + 3x + 1 = 6x + 18 Reorder the terms: 12 + 1 + -1x + 3x = 6x + 18 Combine like terms: 12 + 1 = 13 13 + -1x + 3x = 6x + 18 Combine like terms: -1x + 3x = 2x 13 + 2x = 6x + 18 Reorder the terms: 13 + 2x = 18 + 6x Solving 13 + 2x = 18 + 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. 13 + 2x + -6x = 18 + 6x + -6x Combine like terms: 2x + -6x = -4x 13 + -4x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -4x = 18 + 0 13 + -4x = 18 Add '-13' to each side of the equation. 13 + -13 + -4x = 18 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 18 + -13 -4x = 18 + -13 Combine like terms: 18 + -13 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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