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Simplifying 4(x + 1) + -3(2x + 6) = 40 Reorder the terms: 4(1 + x) + -3(2x + 6) = 40 (1 * 4 + x * 4) + -3(2x + 6) = 40 (4 + 4x) + -3(2x + 6) = 40 Reorder the terms: 4 + 4x + -3(6 + 2x) = 40 4 + 4x + (6 * -3 + 2x * -3) = 40 4 + 4x + (-18 + -6x) = 40 Reorder the terms: 4 + -18 + 4x + -6x = 40 Combine like terms: 4 + -18 = -14 -14 + 4x + -6x = 40 Combine like terms: 4x + -6x = -2x -14 + -2x = 40 Solving -14 + -2x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -2x = 40 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 40 + 14 -2x = 40 + 14 Combine like terms: 40 + 14 = 54 -2x = 54 Divide each side by '-2'. x = -27 Simplifying x = -27
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