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Simplifying 5x + -14 = 3(x + -10) Reorder the terms: -14 + 5x = 3(x + -10) Reorder the terms: -14 + 5x = 3(-10 + x) -14 + 5x = (-10 * 3 + x * 3) -14 + 5x = (-30 + 3x) Solving -14 + 5x = -30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + 5x + -3x = -30 + 3x + -3x Combine like terms: 5x + -3x = 2x -14 + 2x = -30 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 2x = -30 + 0 -14 + 2x = -30 Add '14' to each side of the equation. -14 + 14 + 2x = -30 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -30 + 14 2x = -30 + 14 Combine like terms: -30 + 14 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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