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Simplifying -3(5 + -2x) = 1.5(8 + 12x) + -19 (5 * -3 + -2x * -3) = 1.5(8 + 12x) + -19 (-15 + 6x) = 1.5(8 + 12x) + -19 -15 + 6x = (8 * 1.5 + 12x * 1.5) + -19 -15 + 6x = (12 + 18x) + -19 Reorder the terms: -15 + 6x = 12 + -19 + 18x Combine like terms: 12 + -19 = -7 -15 + 6x = -7 + 18x Solving -15 + 6x = -7 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -15 + 6x + -18x = -7 + 18x + -18x Combine like terms: 6x + -18x = -12x -15 + -12x = -7 + 18x + -18x Combine like terms: 18x + -18x = 0 -15 + -12x = -7 + 0 -15 + -12x = -7 Add '15' to each side of the equation. -15 + 15 + -12x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -12x = -7 + 15 -12x = -7 + 15 Combine like terms: -7 + 15 = 8 -12x = 8 Divide each side by '-12'. x = -0.6666666667 Simplifying x = -0.6666666667
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