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Simplifying 30 = 5(x + -3) + 4(x + 4) Reorder the terms: 30 = 5(-3 + x) + 4(x + 4) 30 = (-3 * 5 + x * 5) + 4(x + 4) 30 = (-15 + 5x) + 4(x + 4) Reorder the terms: 30 = -15 + 5x + 4(4 + x) 30 = -15 + 5x + (4 * 4 + x * 4) 30 = -15 + 5x + (16 + 4x) Reorder the terms: 30 = -15 + 16 + 5x + 4x Combine like terms: -15 + 16 = 1 30 = 1 + 5x + 4x Combine like terms: 5x + 4x = 9x 30 = 1 + 9x Solving 30 = 1 + 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. 30 + -9x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + -9x = 1 + 0 30 + -9x = 1 Add '-30' to each side of the equation. 30 + -30 + -9x = 1 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = 1 + -30 -9x = 1 + -30 Combine like terms: 1 + -30 = -29 -9x = -29 Divide each side by '-9'. x = 3.222222222 Simplifying x = 3.222222222
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