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Simplifying 6(x + 9) + 9 = 2(x + 4) + 7 Reorder the terms: 6(9 + x) + 9 = 2(x + 4) + 7 (9 * 6 + x * 6) + 9 = 2(x + 4) + 7 (54 + 6x) + 9 = 2(x + 4) + 7 Reorder the terms: 54 + 9 + 6x = 2(x + 4) + 7 Combine like terms: 54 + 9 = 63 63 + 6x = 2(x + 4) + 7 Reorder the terms: 63 + 6x = 2(4 + x) + 7 63 + 6x = (4 * 2 + x * 2) + 7 63 + 6x = (8 + 2x) + 7 Reorder the terms: 63 + 6x = 8 + 7 + 2x Combine like terms: 8 + 7 = 15 63 + 6x = 15 + 2x Solving 63 + 6x = 15 + 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. 63 + 6x + -2x = 15 + 2x + -2x Combine like terms: 6x + -2x = 4x 63 + 4x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 63 + 4x = 15 + 0 63 + 4x = 15 Add '-63' to each side of the equation. 63 + -63 + 4x = 15 + -63 Combine like terms: 63 + -63 = 0 0 + 4x = 15 + -63 4x = 15 + -63 Combine like terms: 15 + -63 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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