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Simplifying 14x + 10(x + 3) = 7(x + -2) Reorder the terms: 14x + 10(3 + x) = 7(x + -2) 14x + (3 * 10 + x * 10) = 7(x + -2) 14x + (30 + 10x) = 7(x + -2) Reorder the terms: 30 + 14x + 10x = 7(x + -2) Combine like terms: 14x + 10x = 24x 30 + 24x = 7(x + -2) Reorder the terms: 30 + 24x = 7(-2 + x) 30 + 24x = (-2 * 7 + x * 7) 30 + 24x = (-14 + 7x) Solving 30 + 24x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 30 + 24x + -7x = -14 + 7x + -7x Combine like terms: 24x + -7x = 17x 30 + 17x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + 17x = -14 + 0 30 + 17x = -14 Add '-30' to each side of the equation. 30 + -30 + 17x = -14 + -30 Combine like terms: 30 + -30 = 0 0 + 17x = -14 + -30 17x = -14 + -30 Combine like terms: -14 + -30 = -44 17x = -44 Divide each side by '17'. x = -2.588235294 Simplifying x = -2.588235294
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