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Simplifying 2(x + -4) = 3 + -5(-3x + 1) Reorder the terms: 2(-4 + x) = 3 + -5(-3x + 1) (-4 * 2 + x * 2) = 3 + -5(-3x + 1) (-8 + 2x) = 3 + -5(-3x + 1) Reorder the terms: -8 + 2x = 3 + -5(1 + -3x) -8 + 2x = 3 + (1 * -5 + -3x * -5) -8 + 2x = 3 + (-5 + 15x) Combine like terms: 3 + -5 = -2 -8 + 2x = -2 + 15x Solving -8 + 2x = -2 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -8 + 2x + -15x = -2 + 15x + -15x Combine like terms: 2x + -15x = -13x -8 + -13x = -2 + 15x + -15x Combine like terms: 15x + -15x = 0 -8 + -13x = -2 + 0 -8 + -13x = -2 Add '8' to each side of the equation. -8 + 8 + -13x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -13x = -2 + 8 -13x = -2 + 8 Combine like terms: -2 + 8 = 6 -13x = 6 Divide each side by '-13'. x = -0.4615384615 Simplifying x = -0.4615384615
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