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Simplifying -3x + 1 + -1(-4x + -6) = 10 Reorder the terms: -3x + 1 + -1(-6 + -4x) = 10 -3x + 1 + (-6 * -1 + -4x * -1) = 10 -3x + 1 + (6 + 4x) = 10 Reorder the terms: 1 + 6 + -3x + 4x = 10 Combine like terms: 1 + 6 = 7 7 + -3x + 4x = 10 Combine like terms: -3x + 4x = 1x 7 + 1x = 10 Solving 7 + 1x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 10 + -7 1x = 10 + -7 Combine like terms: 10 + -7 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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