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Simplifying 4x + -6 = 10 + -2(x + -1) Reorder the terms: -6 + 4x = 10 + -2(x + -1) Reorder the terms: -6 + 4x = 10 + -2(-1 + x) -6 + 4x = 10 + (-1 * -2 + x * -2) -6 + 4x = 10 + (2 + -2x) Combine like terms: 10 + 2 = 12 -6 + 4x = 12 + -2x Solving -6 + 4x = 12 + -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. -6 + 4x + 2x = 12 + -2x + 2x Combine like terms: 4x + 2x = 6x -6 + 6x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 6x = 12 + 0 -6 + 6x = 12 Add '6' to each side of the equation. -6 + 6 + 6x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 12 + 6 6x = 12 + 6 Combine like terms: 12 + 6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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