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Simplifying 30 + -7x = 0.5(18x + -4) Reorder the terms: 30 + -7x = 0.5(-4 + 18x) 30 + -7x = (-4 * 0.5 + 18x * 0.5) 30 + -7x = (-2 + 9x) Solving 30 + -7x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 30 + -7x + -9x = -2 + 9x + -9x Combine like terms: -7x + -9x = -16x 30 + -16x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + -16x = -2 + 0 30 + -16x = -2 Add '-30' to each side of the equation. 30 + -30 + -16x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -16x = -2 + -30 -16x = -2 + -30 Combine like terms: -2 + -30 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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