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Simplifying 2(3x + -13) = 40 + -3(x + 4) Reorder the terms: 2(-13 + 3x) = 40 + -3(x + 4) (-13 * 2 + 3x * 2) = 40 + -3(x + 4) (-26 + 6x) = 40 + -3(x + 4) Reorder the terms: -26 + 6x = 40 + -3(4 + x) -26 + 6x = 40 + (4 * -3 + x * -3) -26 + 6x = 40 + (-12 + -3x) Combine like terms: 40 + -12 = 28 -26 + 6x = 28 + -3x Solving -26 + 6x = 28 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -26 + 6x + 3x = 28 + -3x + 3x Combine like terms: 6x + 3x = 9x -26 + 9x = 28 + -3x + 3x Combine like terms: -3x + 3x = 0 -26 + 9x = 28 + 0 -26 + 9x = 28 Add '26' to each side of the equation. -26 + 26 + 9x = 28 + 26 Combine like terms: -26 + 26 = 0 0 + 9x = 28 + 26 9x = 28 + 26 Combine like terms: 28 + 26 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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