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Simplifying -4x + 3 = -2x + 6(x + -4) + -2 Reorder the terms: 3 + -4x = -2x + 6(x + -4) + -2 Reorder the terms: 3 + -4x = -2x + 6(-4 + x) + -2 3 + -4x = -2x + (-4 * 6 + x * 6) + -2 3 + -4x = -2x + (-24 + 6x) + -2 Reorder the terms: 3 + -4x = -24 + -2 + -2x + 6x Combine like terms: -24 + -2 = -26 3 + -4x = -26 + -2x + 6x Combine like terms: -2x + 6x = 4x 3 + -4x = -26 + 4x Solving 3 + -4x = -26 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + -4x + -4x = -26 + 4x + -4x Combine like terms: -4x + -4x = -8x 3 + -8x = -26 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -8x = -26 + 0 3 + -8x = -26 Add '-3' to each side of the equation. 3 + -3 + -8x = -26 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = -26 + -3 -8x = -26 + -3 Combine like terms: -26 + -3 = -29 -8x = -29 Divide each side by '-8'. x = 3.625 Simplifying x = 3.625
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