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Simplifying 0.5(x + -12) + 3x = 4x + -3 Reorder the terms: 0.5(-12 + x) + 3x = 4x + -3 (-12 * 0.5 + x * 0.5) + 3x = 4x + -3 (-6 + 0.5x) + 3x = 4x + -3 Combine like terms: 0.5x + 3x = 3.5x -6 + 3.5x = 4x + -3 Reorder the terms: -6 + 3.5x = -3 + 4x Solving -6 + 3.5x = -3 + 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. -6 + 3.5x + -4x = -3 + 4x + -4x Combine like terms: 3.5x + -4x = -0.5x -6 + -0.5x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -0.5x = -3 + 0 -6 + -0.5x = -3 Add '6' to each side of the equation. -6 + 6 + -0.5x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -0.5x = -3 + 6 -0.5x = -3 + 6 Combine like terms: -3 + 6 = 3 -0.5x = 3 Divide each side by '-0.5'. x = -6 Simplifying x = -6
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