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Simplifying 5(9 + -1x) = 9x + 15 + -6x (9 * 5 + -1x * 5) = 9x + 15 + -6x (45 + -5x) = 9x + 15 + -6x Reorder the terms: 45 + -5x = 15 + 9x + -6x Combine like terms: 9x + -6x = 3x 45 + -5x = 15 + 3x Solving 45 + -5x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 45 + -5x + -3x = 15 + 3x + -3x Combine like terms: -5x + -3x = -8x 45 + -8x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + -8x = 15 + 0 45 + -8x = 15 Add '-45' to each side of the equation. 45 + -45 + -8x = 15 + -45 Combine like terms: 45 + -45 = 0 0 + -8x = 15 + -45 -8x = 15 + -45 Combine like terms: 15 + -45 = -30 -8x = -30 Divide each side by '-8'. x = 3.75 Simplifying x = 3.75
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