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Simplifying 5(3x + 1) = 2(x + -4) Reorder the terms: 5(1 + 3x) = 2(x + -4) (1 * 5 + 3x * 5) = 2(x + -4) (5 + 15x) = 2(x + -4) Reorder the terms: 5 + 15x = 2(-4 + x) 5 + 15x = (-4 * 2 + x * 2) 5 + 15x = (-8 + 2x) Solving 5 + 15x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 15x + -2x = -8 + 2x + -2x Combine like terms: 15x + -2x = 13x 5 + 13x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 13x = -8 + 0 5 + 13x = -8 Add '-5' to each side of the equation. 5 + -5 + 13x = -8 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = -8 + -5 13x = -8 + -5 Combine like terms: -8 + -5 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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