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Simplifying 3(2x + -4) + 7(x + -8) = 40 Reorder the terms: 3(-4 + 2x) + 7(x + -8) = 40 (-4 * 3 + 2x * 3) + 7(x + -8) = 40 (-12 + 6x) + 7(x + -8) = 40 Reorder the terms: -12 + 6x + 7(-8 + x) = 40 -12 + 6x + (-8 * 7 + x * 7) = 40 -12 + 6x + (-56 + 7x) = 40 Reorder the terms: -12 + -56 + 6x + 7x = 40 Combine like terms: -12 + -56 = -68 -68 + 6x + 7x = 40 Combine like terms: 6x + 7x = 13x -68 + 13x = 40 Solving -68 + 13x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + 13x = 40 + 68 Combine like terms: -68 + 68 = 0 0 + 13x = 40 + 68 13x = 40 + 68 Combine like terms: 40 + 68 = 108 13x = 108 Divide each side by '13'. x = 8.307692308 Simplifying x = 8.307692308
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