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Simplifying 5 + -12x + 13.5 = -1x + 12 + 3x + -7.5 Reorder the terms: 5 + 13.5 + -12x = -1x + 12 + 3x + -7.5 Combine like terms: 5 + 13.5 = 18.5 18.5 + -12x = -1x + 12 + 3x + -7.5 Reorder the terms: 18.5 + -12x = 12 + -7.5 + -1x + 3x Combine like terms: 12 + -7.5 = 4.5 18.5 + -12x = 4.5 + -1x + 3x Combine like terms: -1x + 3x = 2x 18.5 + -12x = 4.5 + 2x Solving 18.5 + -12x = 4.5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18.5 + -12x + -2x = 4.5 + 2x + -2x Combine like terms: -12x + -2x = -14x 18.5 + -14x = 4.5 + 2x + -2x Combine like terms: 2x + -2x = 0 18.5 + -14x = 4.5 + 0 18.5 + -14x = 4.5 Add '-18.5' to each side of the equation. 18.5 + -18.5 + -14x = 4.5 + -18.5 Combine like terms: 18.5 + -18.5 = 0.0 0.0 + -14x = 4.5 + -18.5 -14x = 4.5 + -18.5 Combine like terms: 4.5 + -18.5 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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