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Simplifying 5x + 7 = 3(2x + 3) + 6 Reorder the terms: 7 + 5x = 3(2x + 3) + 6 Reorder the terms: 7 + 5x = 3(3 + 2x) + 6 7 + 5x = (3 * 3 + 2x * 3) + 6 7 + 5x = (9 + 6x) + 6 Reorder the terms: 7 + 5x = 9 + 6 + 6x Combine like terms: 9 + 6 = 15 7 + 5x = 15 + 6x Solving 7 + 5x = 15 + 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. 7 + 5x + -6x = 15 + 6x + -6x Combine like terms: 5x + -6x = -1x 7 + -1x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -1x = 15 + 0 7 + -1x = 15 Add '-7' to each side of the equation. 7 + -7 + -1x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 15 + -7 -1x = 15 + -7 Combine like terms: 15 + -7 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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