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Simplifying 6x + -4(2x + -3) = 4x + -24 Reorder the terms: 6x + -4(-3 + 2x) = 4x + -24 6x + (-3 * -4 + 2x * -4) = 4x + -24 6x + (12 + -8x) = 4x + -24 Reorder the terms: 12 + 6x + -8x = 4x + -24 Combine like terms: 6x + -8x = -2x 12 + -2x = 4x + -24 Reorder the terms: 12 + -2x = -24 + 4x Solving 12 + -2x = -24 + 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. 12 + -2x + -4x = -24 + 4x + -4x Combine like terms: -2x + -4x = -6x 12 + -6x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -6x = -24 + 0 12 + -6x = -24 Add '-12' to each side of the equation. 12 + -12 + -6x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -24 + -12 -6x = -24 + -12 Combine like terms: -24 + -12 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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