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Simplifying 10(x + -2) + -12 = 14(x + -2) Reorder the terms: 10(-2 + x) + -12 = 14(x + -2) (-2 * 10 + x * 10) + -12 = 14(x + -2) (-20 + 10x) + -12 = 14(x + -2) Reorder the terms: -20 + -12 + 10x = 14(x + -2) Combine like terms: -20 + -12 = -32 -32 + 10x = 14(x + -2) Reorder the terms: -32 + 10x = 14(-2 + x) -32 + 10x = (-2 * 14 + x * 14) -32 + 10x = (-28 + 14x) Solving -32 + 10x = -28 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -32 + 10x + -14x = -28 + 14x + -14x Combine like terms: 10x + -14x = -4x -32 + -4x = -28 + 14x + -14x Combine like terms: 14x + -14x = 0 -32 + -4x = -28 + 0 -32 + -4x = -28 Add '32' to each side of the equation. -32 + 32 + -4x = -28 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = -28 + 32 -4x = -28 + 32 Combine like terms: -28 + 32 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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