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Simplifying 6 + 2x + -1(4 + 4x) = x + -1 6 + 2x + (4 * -1 + 4x * -1) = x + -1 6 + 2x + (-4 + -4x) = x + -1 Reorder the terms: 6 + -4 + 2x + -4x = x + -1 Combine like terms: 6 + -4 = 2 2 + 2x + -4x = x + -1 Combine like terms: 2x + -4x = -2x 2 + -2x = x + -1 Reorder the terms: 2 + -2x = -1 + x Solving 2 + -2x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + -2x + -1x = -1 + x + -1x Combine like terms: -2x + -1x = -3x 2 + -3x = -1 + x + -1x Combine like terms: x + -1x = 0 2 + -3x = -1 + 0 2 + -3x = -1 Add '-2' to each side of the equation. 2 + -2 + -3x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -1 + -2 -3x = -1 + -2 Combine like terms: -1 + -2 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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