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Simplifying 4(x + 3) + -1(x + -1) = 40 Reorder the terms: 4(3 + x) + -1(x + -1) = 40 (3 * 4 + x * 4) + -1(x + -1) = 40 (12 + 4x) + -1(x + -1) = 40 Reorder the terms: 12 + 4x + -1(-1 + x) = 40 12 + 4x + (-1 * -1 + x * -1) = 40 12 + 4x + (1 + -1x) = 40 Reorder the terms: 12 + 1 + 4x + -1x = 40 Combine like terms: 12 + 1 = 13 13 + 4x + -1x = 40 Combine like terms: 4x + -1x = 3x 13 + 3x = 40 Solving 13 + 3x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3x = 40 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 40 + -13 3x = 40 + -13 Combine like terms: 40 + -13 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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