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Simplifying 0.5(4x + -3) = 12x + 16.5 Reorder the terms: 0.5(-3 + 4x) = 12x + 16.5 (-3 * 0.5 + 4x * 0.5) = 12x + 16.5 (-1.5 + 2x) = 12x + 16.5 Reorder the terms: -1.5 + 2x = 16.5 + 12x Solving -1.5 + 2x = 16.5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1.5 + 2x + -12x = 16.5 + 12x + -12x Combine like terms: 2x + -12x = -10x -1.5 + -10x = 16.5 + 12x + -12x Combine like terms: 12x + -12x = 0 -1.5 + -10x = 16.5 + 0 -1.5 + -10x = 16.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + -10x = 16.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -10x = 16.5 + 1.5 -10x = 16.5 + 1.5 Combine like terms: 16.5 + 1.5 = 18 -10x = 18 Divide each side by '-10'. x = -1.8 Simplifying x = -1.8
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