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Simplifying 3(x + -1) + 4(x + 1) = 2x + -44 Reorder the terms: 3(-1 + x) + 4(x + 1) = 2x + -44 (-1 * 3 + x * 3) + 4(x + 1) = 2x + -44 (-3 + 3x) + 4(x + 1) = 2x + -44 Reorder the terms: -3 + 3x + 4(1 + x) = 2x + -44 -3 + 3x + (1 * 4 + x * 4) = 2x + -44 -3 + 3x + (4 + 4x) = 2x + -44 Reorder the terms: -3 + 4 + 3x + 4x = 2x + -44 Combine like terms: -3 + 4 = 1 1 + 3x + 4x = 2x + -44 Combine like terms: 3x + 4x = 7x 1 + 7x = 2x + -44 Reorder the terms: 1 + 7x = -44 + 2x Solving 1 + 7x = -44 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 7x + -2x = -44 + 2x + -2x Combine like terms: 7x + -2x = 5x 1 + 5x = -44 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 5x = -44 + 0 1 + 5x = -44 Add '-1' to each side of the equation. 1 + -1 + 5x = -44 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = -44 + -1 5x = -44 + -1 Combine like terms: -44 + -1 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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