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Simplifying 5x + 4 = 3(2x + 7) + -9 Reorder the terms: 4 + 5x = 3(2x + 7) + -9 Reorder the terms: 4 + 5x = 3(7 + 2x) + -9 4 + 5x = (7 * 3 + 2x * 3) + -9 4 + 5x = (21 + 6x) + -9 Reorder the terms: 4 + 5x = 21 + -9 + 6x Combine like terms: 21 + -9 = 12 4 + 5x = 12 + 6x Solving 4 + 5x = 12 + 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. 4 + 5x + -6x = 12 + 6x + -6x Combine like terms: 5x + -6x = -1x 4 + -1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -1x = 12 + 0 4 + -1x = 12 Add '-4' to each side of the equation. 4 + -4 + -1x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 12 + -4 -1x = 12 + -4 Combine like terms: 12 + -4 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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