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Simplifying 2(x + -3) + -6(x + -2) = 4x Reorder the terms: 2(-3 + x) + -6(x + -2) = 4x (-3 * 2 + x * 2) + -6(x + -2) = 4x (-6 + 2x) + -6(x + -2) = 4x Reorder the terms: -6 + 2x + -6(-2 + x) = 4x -6 + 2x + (-2 * -6 + x * -6) = 4x -6 + 2x + (12 + -6x) = 4x Reorder the terms: -6 + 12 + 2x + -6x = 4x Combine like terms: -6 + 12 = 6 6 + 2x + -6x = 4x Combine like terms: 2x + -6x = -4x 6 + -4x = 4x Solving 6 + -4x = 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. 6 + -4x + -4x = 4x + -4x Combine like terms: -4x + -4x = -8x 6 + -8x = 4x + -4x Combine like terms: 4x + -4x = 0 6 + -8x = 0 Add '-6' to each side of the equation. 6 + -6 + -8x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 0 + -6 -8x = 0 + -6 Combine like terms: 0 + -6 = -6 -8x = -6 Divide each side by '-8'. x = 0.75 Simplifying x = 0.75
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