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Simplifying 10(x + 4) = 9(x + 3) Reorder the terms: 10(4 + x) = 9(x + 3) (4 * 10 + x * 10) = 9(x + 3) (40 + 10x) = 9(x + 3) Reorder the terms: 40 + 10x = 9(3 + x) 40 + 10x = (3 * 9 + x * 9) 40 + 10x = (27 + 9x) Solving 40 + 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. 40 + 10x + -9x = 27 + 9x + -9x Combine like terms: 10x + -9x = 1x 40 + 1x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 40 + 1x = 27 + 0 40 + 1x = 27 Add '-40' to each side of the equation. 40 + -40 + 1x = 27 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 27 + -40 1x = 27 + -40 Combine like terms: 27 + -40 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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