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Simplifying 12(1 + -6x) + 4 = -2 + -6(1 + 8x) (1 * 12 + -6x * 12) + 4 = -2 + -6(1 + 8x) (12 + -72x) + 4 = -2 + -6(1 + 8x) Reorder the terms: 12 + 4 + -72x = -2 + -6(1 + 8x) Combine like terms: 12 + 4 = 16 16 + -72x = -2 + -6(1 + 8x) 16 + -72x = -2 + (1 * -6 + 8x * -6) 16 + -72x = -2 + (-6 + -48x) Combine like terms: -2 + -6 = -8 16 + -72x = -8 + -48x Solving 16 + -72x = -8 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 16 + -72x + 48x = -8 + -48x + 48x Combine like terms: -72x + 48x = -24x 16 + -24x = -8 + -48x + 48x Combine like terms: -48x + 48x = 0 16 + -24x = -8 + 0 16 + -24x = -8 Add '-16' to each side of the equation. 16 + -16 + -24x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -24x = -8 + -16 -24x = -8 + -16 Combine like terms: -8 + -16 = -24 -24x = -24 Divide each side by '-24'. x = 1 Simplifying x = 1
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