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Simplifying 15x + 3 = 5(3x + 1) + -1x + 7 Reorder the terms: 3 + 15x = 5(3x + 1) + -1x + 7 Reorder the terms: 3 + 15x = 5(1 + 3x) + -1x + 7 3 + 15x = (1 * 5 + 3x * 5) + -1x + 7 3 + 15x = (5 + 15x) + -1x + 7 Reorder the terms: 3 + 15x = 5 + 7 + 15x + -1x Combine like terms: 5 + 7 = 12 3 + 15x = 12 + 15x + -1x Combine like terms: 15x + -1x = 14x 3 + 15x = 12 + 14x Solving 3 + 15x = 12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 3 + 15x + -14x = 12 + 14x + -14x Combine like terms: 15x + -14x = 1x 3 + 1x = 12 + 14x + -14x Combine like terms: 14x + -14x = 0 3 + 1x = 12 + 0 3 + 1x = 12 Add '-3' to each side of the equation. 3 + -3 + 1x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 12 + -3 1x = 12 + -3 Combine like terms: 12 + -3 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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