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Simplifying x + 15 = 0.5(9x + -42 + 30) Reorder the terms: 15 + x = 0.5(9x + -42 + 30) Reorder the terms: 15 + x = 0.5(-42 + 30 + 9x) Combine like terms: -42 + 30 = -12 15 + x = 0.5(-12 + 9x) 15 + x = (-12 * 0.5 + 9x * 0.5) 15 + x = (-6 + 4.5x) Solving 15 + x = -6 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 15 + x + -4.5x = -6 + 4.5x + -4.5x Combine like terms: x + -4.5x = -3.5x 15 + -3.5x = -6 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 15 + -3.5x = -6 + 0.0 15 + -3.5x = -6 Add '-15' to each side of the equation. 15 + -15 + -3.5x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -3.5x = -6 + -15 -3.5x = -6 + -15 Combine like terms: -6 + -15 = -21 -3.5x = -21 Divide each side by '-3.5'. x = 6 Simplifying x = 6
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