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Simplifying 3(2x + -4) + 5(x + 1) = 87 Reorder the terms: 3(-4 + 2x) + 5(x + 1) = 87 (-4 * 3 + 2x * 3) + 5(x + 1) = 87 (-12 + 6x) + 5(x + 1) = 87 Reorder the terms: -12 + 6x + 5(1 + x) = 87 -12 + 6x + (1 * 5 + x * 5) = 87 -12 + 6x + (5 + 5x) = 87 Reorder the terms: -12 + 5 + 6x + 5x = 87 Combine like terms: -12 + 5 = -7 -7 + 6x + 5x = 87 Combine like terms: 6x + 5x = 11x -7 + 11x = 87 Solving -7 + 11x = 87 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 11x = 87 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 87 + 7 11x = 87 + 7 Combine like terms: 87 + 7 = 94 11x = 94 Divide each side by '11'. x = 8.545454545 Simplifying x = 8.545454545
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