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Simplifying 10x + 6 = 14 + 6(x + -2) Reorder the terms: 6 + 10x = 14 + 6(x + -2) Reorder the terms: 6 + 10x = 14 + 6(-2 + x) 6 + 10x = 14 + (-2 * 6 + x * 6) 6 + 10x = 14 + (-12 + 6x) Combine like terms: 14 + -12 = 2 6 + 10x = 2 + 6x Solving 6 + 10x = 2 + 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. 6 + 10x + -6x = 2 + 6x + -6x Combine like terms: 10x + -6x = 4x 6 + 4x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 4x = 2 + 0 6 + 4x = 2 Add '-6' to each side of the equation. 6 + -6 + 4x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 2 + -6 4x = 2 + -6 Combine like terms: 2 + -6 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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