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Simplifying 4(0.5x + -3) + -6(0.3x + -4) = 12.24 Reorder the terms: 4(-3 + 0.5x) + -6(0.3x + -4) = 12.24 (-3 * 4 + 0.5x * 4) + -6(0.3x + -4) = 12.24 (-12 + 2x) + -6(0.3x + -4) = 12.24 Reorder the terms: -12 + 2x + -6(-4 + 0.3x) = 12.24 -12 + 2x + (-4 * -6 + 0.3x * -6) = 12.24 -12 + 2x + (24 + -1.8x) = 12.24 Reorder the terms: -12 + 24 + 2x + -1.8x = 12.24 Combine like terms: -12 + 24 = 12 12 + 2x + -1.8x = 12.24 Combine like terms: 2x + -1.8x = 0.2x 12 + 0.2x = 12.24 Solving 12 + 0.2x = 12.24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 0.2x = 12.24 + -12 Combine like terms: 12 + -12 = 0 0 + 0.2x = 12.24 + -12 0.2x = 12.24 + -12 Combine like terms: 12.24 + -12 = 0.24 0.2x = 0.24 Divide each side by '0.2'. x = 1.2 Simplifying x = 1.2
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