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Simplifying 2(x + 4) + 9 = 6(x + 3) + -7 Reorder the terms: 2(4 + x) + 9 = 6(x + 3) + -7 (4 * 2 + x * 2) + 9 = 6(x + 3) + -7 (8 + 2x) + 9 = 6(x + 3) + -7 Reorder the terms: 8 + 9 + 2x = 6(x + 3) + -7 Combine like terms: 8 + 9 = 17 17 + 2x = 6(x + 3) + -7 Reorder the terms: 17 + 2x = 6(3 + x) + -7 17 + 2x = (3 * 6 + x * 6) + -7 17 + 2x = (18 + 6x) + -7 Reorder the terms: 17 + 2x = 18 + -7 + 6x Combine like terms: 18 + -7 = 11 17 + 2x = 11 + 6x Solving 17 + 2x = 11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + 2x + -6x = 11 + 6x + -6x Combine like terms: 2x + -6x = -4x 17 + -4x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -4x = 11 + 0 17 + -4x = 11 Add '-17' to each side of the equation. 17 + -17 + -4x = 11 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 11 + -17 -4x = 11 + -17 Combine like terms: 11 + -17 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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