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Simplifying 2(5x + 7) + 4(3x + -2) = 6(x + 9) + 8 Reorder the terms: 2(7 + 5x) + 4(3x + -2) = 6(x + 9) + 8 (7 * 2 + 5x * 2) + 4(3x + -2) = 6(x + 9) + 8 (14 + 10x) + 4(3x + -2) = 6(x + 9) + 8 Reorder the terms: 14 + 10x + 4(-2 + 3x) = 6(x + 9) + 8 14 + 10x + (-2 * 4 + 3x * 4) = 6(x + 9) + 8 14 + 10x + (-8 + 12x) = 6(x + 9) + 8 Reorder the terms: 14 + -8 + 10x + 12x = 6(x + 9) + 8 Combine like terms: 14 + -8 = 6 6 + 10x + 12x = 6(x + 9) + 8 Combine like terms: 10x + 12x = 22x 6 + 22x = 6(x + 9) + 8 Reorder the terms: 6 + 22x = 6(9 + x) + 8 6 + 22x = (9 * 6 + x * 6) + 8 6 + 22x = (54 + 6x) + 8 Reorder the terms: 6 + 22x = 54 + 8 + 6x Combine like terms: 54 + 8 = 62 6 + 22x = 62 + 6x Solving 6 + 22x = 62 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 22x + -6x = 62 + 6x + -6x Combine like terms: 22x + -6x = 16x 6 + 16x = 62 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 16x = 62 + 0 6 + 16x = 62 Add '-6' to each side of the equation. 6 + -6 + 16x = 62 + -6 Combine like terms: 6 + -6 = 0 0 + 16x = 62 + -6 16x = 62 + -6 Combine like terms: 62 + -6 = 56 16x = 56 Divide each side by '16'. x = 3.5 Simplifying x = 3.5
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