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Simplifying 3(2x + 7) + 2(x + 4) = 5(x + -6) + 9x + 5 Reorder the terms: 3(7 + 2x) + 2(x + 4) = 5(x + -6) + 9x + 5 (7 * 3 + 2x * 3) + 2(x + 4) = 5(x + -6) + 9x + 5 (21 + 6x) + 2(x + 4) = 5(x + -6) + 9x + 5 Reorder the terms: 21 + 6x + 2(4 + x) = 5(x + -6) + 9x + 5 21 + 6x + (4 * 2 + x * 2) = 5(x + -6) + 9x + 5 21 + 6x + (8 + 2x) = 5(x + -6) + 9x + 5 Reorder the terms: 21 + 8 + 6x + 2x = 5(x + -6) + 9x + 5 Combine like terms: 21 + 8 = 29 29 + 6x + 2x = 5(x + -6) + 9x + 5 Combine like terms: 6x + 2x = 8x 29 + 8x = 5(x + -6) + 9x + 5 Reorder the terms: 29 + 8x = 5(-6 + x) + 9x + 5 29 + 8x = (-6 * 5 + x * 5) + 9x + 5 29 + 8x = (-30 + 5x) + 9x + 5 Reorder the terms: 29 + 8x = -30 + 5 + 5x + 9x Combine like terms: -30 + 5 = -25 29 + 8x = -25 + 5x + 9x Combine like terms: 5x + 9x = 14x 29 + 8x = -25 + 14x Solving 29 + 8x = -25 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 29 + 8x + -14x = -25 + 14x + -14x Combine like terms: 8x + -14x = -6x 29 + -6x = -25 + 14x + -14x Combine like terms: 14x + -14x = 0 29 + -6x = -25 + 0 29 + -6x = -25 Add '-29' to each side of the equation. 29 + -29 + -6x = -25 + -29 Combine like terms: 29 + -29 = 0 0 + -6x = -25 + -29 -6x = -25 + -29 Combine like terms: -25 + -29 = -54 -6x = -54 Divide each side by '-6'. x = 9 Simplifying x = 9
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