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Simplifying 1 = -4(3x + 1) + 13x Reorder the terms: 1 = -4(1 + 3x) + 13x 1 = (1 * -4 + 3x * -4) + 13x 1 = (-4 + -12x) + 13x Combine like terms: -12x + 13x = 1x 1 = -4 + 1x Solving 1 = -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. 1 + -1x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + -1x = -4 + 0 1 + -1x = -4 Add '-1' to each side of the equation. 1 + -1 + -1x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -4 + -1 -1x = -4 + -1 Combine like terms: -4 + -1 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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