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Simplifying 5(1 + 2x) = 9(x + -3) (1 * 5 + 2x * 5) = 9(x + -3) (5 + 10x) = 9(x + -3) Reorder the terms: 5 + 10x = 9(-3 + x) 5 + 10x = (-3 * 9 + x * 9) 5 + 10x = (-27 + 9x) Solving 5 + 10x = -27 + 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. 5 + 10x + -9x = -27 + 9x + -9x Combine like terms: 10x + -9x = 1x 5 + 1x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + 1x = -27 + 0 5 + 1x = -27 Add '-5' to each side of the equation. 5 + -5 + 1x = -27 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -27 + -5 1x = -27 + -5 Combine like terms: -27 + -5 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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