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Simplifying -6(6x + -4) + 5(3 + 7x) = 7x + 4 + -5x + 5 Reorder the terms: -6(-4 + 6x) + 5(3 + 7x) = 7x + 4 + -5x + 5 (-4 * -6 + 6x * -6) + 5(3 + 7x) = 7x + 4 + -5x + 5 (24 + -36x) + 5(3 + 7x) = 7x + 4 + -5x + 5 24 + -36x + (3 * 5 + 7x * 5) = 7x + 4 + -5x + 5 24 + -36x + (15 + 35x) = 7x + 4 + -5x + 5 Reorder the terms: 24 + 15 + -36x + 35x = 7x + 4 + -5x + 5 Combine like terms: 24 + 15 = 39 39 + -36x + 35x = 7x + 4 + -5x + 5 Combine like terms: -36x + 35x = -1x 39 + -1x = 7x + 4 + -5x + 5 Reorder the terms: 39 + -1x = 4 + 5 + 7x + -5x Combine like terms: 4 + 5 = 9 39 + -1x = 9 + 7x + -5x Combine like terms: 7x + -5x = 2x 39 + -1x = 9 + 2x Solving 39 + -1x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 39 + -1x + -2x = 9 + 2x + -2x Combine like terms: -1x + -2x = -3x 39 + -3x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 39 + -3x = 9 + 0 39 + -3x = 9 Add '-39' to each side of the equation. 39 + -39 + -3x = 9 + -39 Combine like terms: 39 + -39 = 0 0 + -3x = 9 + -39 -3x = 9 + -39 Combine like terms: 9 + -39 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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