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Simplifying 14(x + -2) = 10(x + 4) Reorder the terms: 14(-2 + x) = 10(x + 4) (-2 * 14 + x * 14) = 10(x + 4) (-28 + 14x) = 10(x + 4) Reorder the terms: -28 + 14x = 10(4 + x) -28 + 14x = (4 * 10 + x * 10) -28 + 14x = (40 + 10x) Solving -28 + 14x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -28 + 14x + -10x = 40 + 10x + -10x Combine like terms: 14x + -10x = 4x -28 + 4x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 -28 + 4x = 40 + 0 -28 + 4x = 40 Add '28' to each side of the equation. -28 + 28 + 4x = 40 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = 40 + 28 4x = 40 + 28 Combine like terms: 40 + 28 = 68 4x = 68 Divide each side by '4'. x = 17 Simplifying x = 17
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