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Simplifying -9x + 3 + 4x = 0.5(2x + 66) Reorder the terms: 3 + -9x + 4x = 0.5(2x + 66) Combine like terms: -9x + 4x = -5x 3 + -5x = 0.5(2x + 66) Reorder the terms: 3 + -5x = 0.5(66 + 2x) 3 + -5x = (66 * 0.5 + 2x * 0.5) 3 + -5x = (33 + 1x) Solving 3 + -5x = 33 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + -5x + -1x = 33 + 1x + -1x Combine like terms: -5x + -1x = -6x 3 + -6x = 33 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + -6x = 33 + 0 3 + -6x = 33 Add '-3' to each side of the equation. 3 + -3 + -6x = 33 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 33 + -3 -6x = 33 + -3 Combine like terms: 33 + -3 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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