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Simplifying 4(3x + 1) = 5x + -6x Reorder the terms: 4(1 + 3x) = 5x + -6x (1 * 4 + 3x * 4) = 5x + -6x (4 + 12x) = 5x + -6x Combine like terms: 5x + -6x = -1x 4 + 12x = -1x Solving 4 + 12x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + 12x + x = -1x + x Combine like terms: 12x + x = 13x 4 + 13x = -1x + x Combine like terms: -1x + x = 0 4 + 13x = 0 Add '-4' to each side of the equation. 4 + -4 + 13x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 0 + -4 13x = 0 + -4 Combine like terms: 0 + -4 = -4 13x = -4 Divide each side by '13'. x = -0.3076923077 Simplifying x = -0.3076923077
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