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Simplifying 10x + -12 = 2(x + 14) Reorder the terms: -12 + 10x = 2(x + 14) Reorder the terms: -12 + 10x = 2(14 + x) -12 + 10x = (14 * 2 + x * 2) -12 + 10x = (28 + 2x) Solving -12 + 10x = 28 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 10x + -2x = 28 + 2x + -2x Combine like terms: 10x + -2x = 8x -12 + 8x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 8x = 28 + 0 -12 + 8x = 28 Add '12' to each side of the equation. -12 + 12 + 8x = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 28 + 12 8x = 28 + 12 Combine like terms: 28 + 12 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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