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Simplifying x + 4(x + -2) = 6x + 1 Reorder the terms: x + 4(-2 + x) = 6x + 1 x + (-2 * 4 + x * 4) = 6x + 1 x + (-8 + 4x) = 6x + 1 Reorder the terms: -8 + x + 4x = 6x + 1 Combine like terms: x + 4x = 5x -8 + 5x = 6x + 1 Reorder the terms: -8 + 5x = 1 + 6x Solving -8 + 5x = 1 + 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. -8 + 5x + -6x = 1 + 6x + -6x Combine like terms: 5x + -6x = -1x -8 + -1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -1x = 1 + 0 -8 + -1x = 1 Add '8' to each side of the equation. -8 + 8 + -1x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 1 + 8 -1x = 1 + 8 Combine like terms: 1 + 8 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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