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Simplifying 5 + -12x + 13.5 = x + 12 + 3x + -7.5 Reorder the terms: 5 + 13.5 + -12x = x + 12 + 3x + -7.5 Combine like terms: 5 + 13.5 = 18.5 18.5 + -12x = x + 12 + 3x + -7.5 Reorder the terms: 18.5 + -12x = 12 + -7.5 + x + 3x Combine like terms: 12 + -7.5 = 4.5 18.5 + -12x = 4.5 + x + 3x Combine like terms: x + 3x = 4x 18.5 + -12x = 4.5 + 4x Solving 18.5 + -12x = 4.5 + 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. 18.5 + -12x + -4x = 4.5 + 4x + -4x Combine like terms: -12x + -4x = -16x 18.5 + -16x = 4.5 + 4x + -4x Combine like terms: 4x + -4x = 0 18.5 + -16x = 4.5 + 0 18.5 + -16x = 4.5 Add '-18.5' to each side of the equation. 18.5 + -18.5 + -16x = 4.5 + -18.5 Combine like terms: 18.5 + -18.5 = 0.0 0.0 + -16x = 4.5 + -18.5 -16x = 4.5 + -18.5 Combine like terms: 4.5 + -18.5 = -14 -16x = -14 Divide each side by '-16'. x = 0.875 Simplifying x = 0.875
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