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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 = -11 -11 + 4x + -1x = 40 Combine like terms: 4x + -1x = 3x -11 + 3x = 40 Solving -11 + 3x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3x = 40 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 40 + 11 3x = 40 + 11 Combine like terms: 40 + 11 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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