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Simplifying 5(4x + -1.5x) + 12 = 4x + -2 Combine like terms: 4x + -1.5x = 2.5x 5(2.5x) + 12 = 4x + -2 Remove parenthesis around (2.5x) 5 * 2.5x + 12 = 4x + -2 Multiply 5 * 2.5 12.5x + 12 = 4x + -2 Reorder the terms: 12 + 12.5x = 4x + -2 Reorder the terms: 12 + 12.5x = -2 + 4x Solving 12 + 12.5x = -2 + 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. 12 + 12.5x + -4x = -2 + 4x + -4x Combine like terms: 12.5x + -4x = 8.5x 12 + 8.5x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 8.5x = -2 + 0 12 + 8.5x = -2 Add '-12' to each side of the equation. 12 + -12 + 8.5x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 8.5x = -2 + -12 8.5x = -2 + -12 Combine like terms: -2 + -12 = -14 8.5x = -14 Divide each side by '8.5'. x = -1.647058824 Simplifying x = -1.647058824
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