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Simplifying 4(x + 1) + 3(x + 2) = 9(x + 1) + -5 Reorder the terms: 4(1 + x) + 3(x + 2) = 9(x + 1) + -5 (1 * 4 + x * 4) + 3(x + 2) = 9(x + 1) + -5 (4 + 4x) + 3(x + 2) = 9(x + 1) + -5 Reorder the terms: 4 + 4x + 3(2 + x) = 9(x + 1) + -5 4 + 4x + (2 * 3 + x * 3) = 9(x + 1) + -5 4 + 4x + (6 + 3x) = 9(x + 1) + -5 Reorder the terms: 4 + 6 + 4x + 3x = 9(x + 1) + -5 Combine like terms: 4 + 6 = 10 10 + 4x + 3x = 9(x + 1) + -5 Combine like terms: 4x + 3x = 7x 10 + 7x = 9(x + 1) + -5 Reorder the terms: 10 + 7x = 9(1 + x) + -5 10 + 7x = (1 * 9 + x * 9) + -5 10 + 7x = (9 + 9x) + -5 Reorder the terms: 10 + 7x = 9 + -5 + 9x Combine like terms: 9 + -5 = 4 10 + 7x = 4 + 9x Solving 10 + 7x = 4 + 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. 10 + 7x + -9x = 4 + 9x + -9x Combine like terms: 7x + -9x = -2x 10 + -2x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -2x = 4 + 0 10 + -2x = 4 Add '-10' to each side of the equation. 10 + -10 + -2x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 4 + -10 -2x = 4 + -10 Combine like terms: 4 + -10 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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