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Simplifying 3(2x + 9) = 6(x + -5) + x + 3 Reorder the terms: 3(9 + 2x) = 6(x + -5) + x + 3 (9 * 3 + 2x * 3) = 6(x + -5) + x + 3 (27 + 6x) = 6(x + -5) + x + 3 Reorder the terms: 27 + 6x = 6(-5 + x) + x + 3 27 + 6x = (-5 * 6 + x * 6) + x + 3 27 + 6x = (-30 + 6x) + x + 3 Reorder the terms: 27 + 6x = -30 + 3 + 6x + x Combine like terms: -30 + 3 = -27 27 + 6x = -27 + 6x + x Combine like terms: 6x + x = 7x 27 + 6x = -27 + 7x Solving 27 + 6x = -27 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 27 + 6x + -7x = -27 + 7x + -7x Combine like terms: 6x + -7x = -1x 27 + -1x = -27 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + -1x = -27 + 0 27 + -1x = -27 Add '-27' to each side of the equation. 27 + -27 + -1x = -27 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = -27 + -27 -1x = -27 + -27 Combine like terms: -27 + -27 = -54 -1x = -54 Divide each side by '-1'. x = 54 Simplifying x = 54
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