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Simplifying 4x + -2 + 6(x + -4) = 6 + 2x Reorder the terms: 4x + -2 + 6(-4 + x) = 6 + 2x 4x + -2 + (-4 * 6 + x * 6) = 6 + 2x 4x + -2 + (-24 + 6x) = 6 + 2x Reorder the terms: -2 + -24 + 4x + 6x = 6 + 2x Combine like terms: -2 + -24 = -26 -26 + 4x + 6x = 6 + 2x Combine like terms: 4x + 6x = 10x -26 + 10x = 6 + 2x Solving -26 + 10x = 6 + 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. -26 + 10x + -2x = 6 + 2x + -2x Combine like terms: 10x + -2x = 8x -26 + 8x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + 8x = 6 + 0 -26 + 8x = 6 Add '26' to each side of the equation. -26 + 26 + 8x = 6 + 26 Combine like terms: -26 + 26 = 0 0 + 8x = 6 + 26 8x = 6 + 26 Combine like terms: 6 + 26 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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