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Simplifying 8 = -4(3x + 1) + 13x Reorder the terms: 8 = -4(1 + 3x) + 13x 8 = (1 * -4 + 3x * -4) + 13x 8 = (-4 + -12x) + 13x Combine like terms: -12x + 13x = 1x 8 = -4 + 1x Solving 8 = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + -1x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + -1x = -4 + 0 8 + -1x = -4 Add '-8' to each side of the equation. 8 + -8 + -1x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -4 + -8 -1x = -4 + -8 Combine like terms: -4 + -8 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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