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Simplifying 4(4 + 2x) + -5 = 3(3x + 7) (4 * 4 + 2x * 4) + -5 = 3(3x + 7) (16 + 8x) + -5 = 3(3x + 7) Reorder the terms: 16 + -5 + 8x = 3(3x + 7) Combine like terms: 16 + -5 = 11 11 + 8x = 3(3x + 7) Reorder the terms: 11 + 8x = 3(7 + 3x) 11 + 8x = (7 * 3 + 3x * 3) 11 + 8x = (21 + 9x) Solving 11 + 8x = 21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 11 + 8x + -9x = 21 + 9x + -9x Combine like terms: 8x + -9x = -1x 11 + -1x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 11 + -1x = 21 + 0 11 + -1x = 21 Add '-11' to each side of the equation. 11 + -11 + -1x = 21 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 21 + -11 -1x = 21 + -11 Combine like terms: 21 + -11 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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