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Simplifying 3(2 + -9x + -7x) + 5(8x + 6) = 4 Combine like terms: -9x + -7x = -16x 3(2 + -16x) + 5(8x + 6) = 4 (2 * 3 + -16x * 3) + 5(8x + 6) = 4 (6 + -48x) + 5(8x + 6) = 4 Reorder the terms: 6 + -48x + 5(6 + 8x) = 4 6 + -48x + (6 * 5 + 8x * 5) = 4 6 + -48x + (30 + 40x) = 4 Reorder the terms: 6 + 30 + -48x + 40x = 4 Combine like terms: 6 + 30 = 36 36 + -48x + 40x = 4 Combine like terms: -48x + 40x = -8x 36 + -8x = 4 Solving 36 + -8x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -8x = 4 + -36 Combine like terms: 36 + -36 = 0 0 + -8x = 4 + -36 -8x = 4 + -36 Combine like terms: 4 + -36 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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