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Simplifying 2x + 5(x + -8) = 3x + 6(2x + -4) Reorder the terms: 2x + 5(-8 + x) = 3x + 6(2x + -4) 2x + (-8 * 5 + x * 5) = 3x + 6(2x + -4) 2x + (-40 + 5x) = 3x + 6(2x + -4) Reorder the terms: -40 + 2x + 5x = 3x + 6(2x + -4) Combine like terms: 2x + 5x = 7x -40 + 7x = 3x + 6(2x + -4) Reorder the terms: -40 + 7x = 3x + 6(-4 + 2x) -40 + 7x = 3x + (-4 * 6 + 2x * 6) -40 + 7x = 3x + (-24 + 12x) Reorder the terms: -40 + 7x = -24 + 3x + 12x Combine like terms: 3x + 12x = 15x -40 + 7x = -24 + 15x Solving -40 + 7x = -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. -40 + 7x + -15x = -24 + 15x + -15x Combine like terms: 7x + -15x = -8x -40 + -8x = -24 + 15x + -15x Combine like terms: 15x + -15x = 0 -40 + -8x = -24 + 0 -40 + -8x = -24 Add '40' to each side of the equation. -40 + 40 + -8x = -24 + 40 Combine like terms: -40 + 40 = 0 0 + -8x = -24 + 40 -8x = -24 + 40 Combine like terms: -24 + 40 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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