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Simplifying -4x + 6 = 0.5(x + 30) Reorder the terms: 6 + -4x = 0.5(x + 30) Reorder the terms: 6 + -4x = 0.5(30 + x) 6 + -4x = (30 * 0.5 + x * 0.5) 6 + -4x = (15 + 0.5x) Solving 6 + -4x = 15 + 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 = 15 + 0.5x + -0.5x Combine like terms: -4x + -0.5x = -4.5x 6 + -4.5x = 15 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + -4.5x = 15 + 0.0 6 + -4.5x = 15 Add '-6' to each side of the equation. 6 + -6 + -4.5x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -4.5x = 15 + -6 -4.5x = 15 + -6 Combine like terms: 15 + -6 = 9 -4.5x = 9 Divide each side by '-4.5'. x = -2 Simplifying x = -2
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