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