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Simplifying 2(5x + 4) + 3 = 9(2x + 4) + 7 Reorder the terms: 2(4 + 5x) + 3 = 9(2x + 4) + 7 (4 * 2 + 5x * 2) + 3 = 9(2x + 4) + 7 (8 + 10x) + 3 = 9(2x + 4) + 7 Reorder the terms: 8 + 3 + 10x = 9(2x + 4) + 7 Combine like terms: 8 + 3 = 11 11 + 10x = 9(2x + 4) + 7 Reorder the terms: 11 + 10x = 9(4 + 2x) + 7 11 + 10x = (4 * 9 + 2x * 9) + 7 11 + 10x = (36 + 18x) + 7 Reorder the terms: 11 + 10x = 36 + 7 + 18x Combine like terms: 36 + 7 = 43 11 + 10x = 43 + 18x Solving 11 + 10x = 43 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 11 + 10x + -18x = 43 + 18x + -18x Combine like terms: 10x + -18x = -8x 11 + -8x = 43 + 18x + -18x Combine like terms: 18x + -18x = 0 11 + -8x = 43 + 0 11 + -8x = 43 Add '-11' to each side of the equation. 11 + -11 + -8x = 43 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = 43 + -11 -8x = 43 + -11 Combine like terms: 43 + -11 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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