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