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Simplifying 5(x + -3) + 3(x + 9) = 35 Reorder the terms: 5(-3 + x) + 3(x + 9) = 35 (-3 * 5 + x * 5) + 3(x + 9) = 35 (-15 + 5x) + 3(x + 9) = 35 Reorder the terms: -15 + 5x + 3(9 + x) = 35 -15 + 5x + (9 * 3 + x * 3) = 35 -15 + 5x + (27 + 3x) = 35 Reorder the terms: -15 + 27 + 5x + 3x = 35 Combine like terms: -15 + 27 = 12 12 + 5x + 3x = 35 Combine like terms: 5x + 3x = 8x 12 + 8x = 35 Solving 12 + 8x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8x = 35 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 35 + -12 8x = 35 + -12 Combine like terms: 35 + -12 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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