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Simplifying 5(4x + -1.5x) + 12 = 5x + -8 Combine like terms: 4x + -1.5x = 2.5x 5(2.5x) + 12 = 5x + -8 Remove parenthesis around (2.5x) 5 * 2.5x + 12 = 5x + -8 Multiply 5 * 2.5 12.5x + 12 = 5x + -8 Reorder the terms: 12 + 12.5x = 5x + -8 Reorder the terms: 12 + 12.5x = -8 + 5x Solving 12 + 12.5x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 12.5x + -5x = -8 + 5x + -5x Combine like terms: 12.5x + -5x = 7.5x 12 + 7.5x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 7.5x = -8 + 0 12 + 7.5x = -8 Add '-12' to each side of the equation. 12 + -12 + 7.5x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 7.5x = -8 + -12 7.5x = -8 + -12 Combine like terms: -8 + -12 = -20 7.5x = -20 Divide each side by '7.5'. x = -2.666666667 Simplifying x = -2.666666667
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