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Simplifying 3(3x + 26) + -2 + -1x = 63 + 2(x + 5) Reorder the terms: 3(26 + 3x) + -2 + -1x = 63 + 2(x + 5) (26 * 3 + 3x * 3) + -2 + -1x = 63 + 2(x + 5) (78 + 9x) + -2 + -1x = 63 + 2(x + 5) Reorder the terms: 78 + -2 + 9x + -1x = 63 + 2(x + 5) Combine like terms: 78 + -2 = 76 76 + 9x + -1x = 63 + 2(x + 5) Combine like terms: 9x + -1x = 8x 76 + 8x = 63 + 2(x + 5) Reorder the terms: 76 + 8x = 63 + 2(5 + x) 76 + 8x = 63 + (5 * 2 + x * 2) 76 + 8x = 63 + (10 + 2x) Combine like terms: 63 + 10 = 73 76 + 8x = 73 + 2x Solving 76 + 8x = 73 + 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. 76 + 8x + -2x = 73 + 2x + -2x Combine like terms: 8x + -2x = 6x 76 + 6x = 73 + 2x + -2x Combine like terms: 2x + -2x = 0 76 + 6x = 73 + 0 76 + 6x = 73 Add '-76' to each side of the equation. 76 + -76 + 6x = 73 + -76 Combine like terms: 76 + -76 = 0 0 + 6x = 73 + -76 6x = 73 + -76 Combine like terms: 73 + -76 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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