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Simplifying 15x + 4 = 3(5x + 1) + -1x + 7 Reorder the terms: 4 + 15x = 3(5x + 1) + -1x + 7 Reorder the terms: 4 + 15x = 3(1 + 5x) + -1x + 7 4 + 15x = (1 * 3 + 5x * 3) + -1x + 7 4 + 15x = (3 + 15x) + -1x + 7 Reorder the terms: 4 + 15x = 3 + 7 + 15x + -1x Combine like terms: 3 + 7 = 10 4 + 15x = 10 + 15x + -1x Combine like terms: 15x + -1x = 14x 4 + 15x = 10 + 14x Solving 4 + 15x = 10 + 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. 4 + 15x + -14x = 10 + 14x + -14x Combine like terms: 15x + -14x = 1x 4 + 1x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 4 + 1x = 10 + 0 4 + 1x = 10 Add '-4' to each side of the equation. 4 + -4 + 1x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 10 + -4 1x = 10 + -4 Combine like terms: 10 + -4 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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