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Simplifying 0.5x + -4(x + -3) = 5x + -3 Reorder the terms: 0.5x + -4(-3 + x) = 5x + -3 0.5x + (-3 * -4 + x * -4) = 5x + -3 0.5x + (12 + -4x) = 5x + -3 Reorder the terms: 12 + 0.5x + -4x = 5x + -3 Combine like terms: 0.5x + -4x = -3.5x 12 + -3.5x = 5x + -3 Reorder the terms: 12 + -3.5x = -3 + 5x Solving 12 + -3.5x = -3 + 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 + -3.5x + -5x = -3 + 5x + -5x Combine like terms: -3.5x + -5x = -8.5x 12 + -8.5x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -8.5x = -3 + 0 12 + -8.5x = -3 Add '-12' to each side of the equation. 12 + -12 + -8.5x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -8.5x = -3 + -12 -8.5x = -3 + -12 Combine like terms: -3 + -12 = -15 -8.5x = -15 Divide each side by '-8.5'. x = 1.764705882 Simplifying x = 1.764705882
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