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Simplifying -4x + 6 = 0.5(x + 3) Reorder the terms: 6 + -4x = 0.5(x + 3) Reorder the terms: 6 + -4x = 0.5(3 + x) 6 + -4x = (3 * 0.5 + x * 0.5) 6 + -4x = (1.5 + 0.5x) Solving 6 + -4x = 1.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 6 + -4x + -0.5x = 1.5 + 0.5x + -0.5x Combine like terms: -4x + -0.5x = -4.5x 6 + -4.5x = 1.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + -4.5x = 1.5 + 0.0 6 + -4.5x = 1.5 Add '-6' to each side of the equation. 6 + -6 + -4.5x = 1.5 + -6 Combine like terms: 6 + -6 = 0 0 + -4.5x = 1.5 + -6 -4.5x = 1.5 + -6 Combine like terms: 1.5 + -6 = -4.5 -4.5x = -4.5 Divide each side by '-4.5'. x = 1 Simplifying x = 1
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