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Simplifying 8(1 + 3x) + 4(-6x + -2) = -6x + 2x (1 * 8 + 3x * 8) + 4(-6x + -2) = -6x + 2x (8 + 24x) + 4(-6x + -2) = -6x + 2x Reorder the terms: 8 + 24x + 4(-2 + -6x) = -6x + 2x 8 + 24x + (-2 * 4 + -6x * 4) = -6x + 2x 8 + 24x + (-8 + -24x) = -6x + 2x Reorder the terms: 8 + -8 + 24x + -24x = -6x + 2x Combine like terms: 8 + -8 = 0 0 + 24x + -24x = -6x + 2x 24x + -24x = -6x + 2x Combine like terms: 24x + -24x = 0 0 = -6x + 2x Combine like terms: -6x + 2x = -4x 0 = -4x Solving 0 = -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. 0 + 4x = -4x + 4x Remove the zero: 4x = -4x + 4x Combine like terms: -4x + 4x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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