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Simplifying 5(3x + 1) = 5x + -6x Reorder the terms: 5(1 + 3x) = 5x + -6x (1 * 5 + 3x * 5) = 5x + -6x (5 + 15x) = 5x + -6x Combine like terms: 5x + -6x = -1x 5 + 15x = -1x Solving 5 + 15x = -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. 5 + 15x + x = -1x + x Combine like terms: 15x + x = 16x 5 + 16x = -1x + x Combine like terms: -1x + x = 0 5 + 16x = 0 Add '-5' to each side of the equation. 5 + -5 + 16x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 16x = 0 + -5 16x = 0 + -5 Combine like terms: 0 + -5 = -5 16x = -5 Divide each side by '16'. x = -0.3125 Simplifying x = -0.3125
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