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Simplifying 4(x + 2) + 9 = 1 + 6(x + 1) + 2x + -12 Reorder the terms: 4(2 + x) + 9 = 1 + 6(x + 1) + 2x + -12 (2 * 4 + x * 4) + 9 = 1 + 6(x + 1) + 2x + -12 (8 + 4x) + 9 = 1 + 6(x + 1) + 2x + -12 Reorder the terms: 8 + 9 + 4x = 1 + 6(x + 1) + 2x + -12 Combine like terms: 8 + 9 = 17 17 + 4x = 1 + 6(x + 1) + 2x + -12 Reorder the terms: 17 + 4x = 1 + 6(1 + x) + 2x + -12 17 + 4x = 1 + (1 * 6 + x * 6) + 2x + -12 17 + 4x = 1 + (6 + 6x) + 2x + -12 Reorder the terms: 17 + 4x = 1 + 6 + -12 + 6x + 2x Combine like terms: 1 + 6 = 7 17 + 4x = 7 + -12 + 6x + 2x Combine like terms: 7 + -12 = -5 17 + 4x = -5 + 6x + 2x Combine like terms: 6x + 2x = 8x 17 + 4x = -5 + 8x Solving 17 + 4x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 17 + 4x + -8x = -5 + 8x + -8x Combine like terms: 4x + -8x = -4x 17 + -4x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 17 + -4x = -5 + 0 17 + -4x = -5 Add '-17' to each side of the equation. 17 + -17 + -4x = -5 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = -5 + -17 -4x = -5 + -17 Combine like terms: -5 + -17 = -22 -4x = -22 Divide each side by '-4'. x = 5.5 Simplifying x = 5.5
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