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Simplifying 3(5x + -2) + 7 = 14x Reorder the terms: 3(-2 + 5x) + 7 = 14x (-2 * 3 + 5x * 3) + 7 = 14x (-6 + 15x) + 7 = 14x Reorder the terms: -6 + 7 + 15x = 14x Combine like terms: -6 + 7 = 1 1 + 15x = 14x Solving 1 + 15x = 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. 1 + 15x + -14x = 14x + -14x Combine like terms: 15x + -14x = 1x 1 + 1x = 14x + -14x Combine like terms: 14x + -14x = 0 1 + 1x = 0 Add '-1' to each side of the equation. 1 + -1 + 1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 0 + -1 1x = 0 + -1 Combine like terms: 0 + -1 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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