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Simplifying 2x + 5(x + -8) * 0 = 3x + 6(2x + -4) Reorder the terms: 2x + 5(-8 + x) * 0 = 3x + 6(2x + -4) Reorder the terms for easier multiplication: 2x + 5 * 0(-8 + x) = 3x + 6(2x + -4) Multiply 5 * 0 2x + 0(-8 + x) = 3x + 6(2x + -4) Anything times zero is zero. 2x + 0(-8 + x) = 3x + 6(2x + -4) Reorder the terms: 0 + 2x = 3x + 6(2x + -4) Remove the zero: 2x = 3x + 6(2x + -4) Reorder the terms: 2x = 3x + 6(-4 + 2x) 2x = 3x + (-4 * 6 + 2x * 6) 2x = 3x + (-24 + 12x) Reorder the terms: 2x = -24 + 3x + 12x Combine like terms: 3x + 12x = 15x 2x = -24 + 15x Solving 2x = -24 + 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. 2x + -15x = -24 + 15x + -15x Combine like terms: 2x + -15x = -13x -13x = -24 + 15x + -15x Combine like terms: 15x + -15x = 0 -13x = -24 + 0 -13x = -24 Divide each side by '-13'. x = 1.846153846 Simplifying x = 1.846153846
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