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Simplifying 5x + 2(x + -14) = 5x + x + -10 Reorder the terms: 5x + 2(-14 + x) = 5x + x + -10 5x + (-14 * 2 + x * 2) = 5x + x + -10 5x + (-28 + 2x) = 5x + x + -10 Reorder the terms: -28 + 5x + 2x = 5x + x + -10 Combine like terms: 5x + 2x = 7x -28 + 7x = 5x + x + -10 Reorder the terms: -28 + 7x = -10 + 5x + x Combine like terms: 5x + x = 6x -28 + 7x = -10 + 6x Solving -28 + 7x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + 7x + -6x = -10 + 6x + -6x Combine like terms: 7x + -6x = 1x -28 + 1x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 1x = -10 + 0 -28 + 1x = -10 Add '28' to each side of the equation. -28 + 28 + 1x = -10 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -10 + 28 1x = -10 + 28 Combine like terms: -10 + 28 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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