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Simplifying 8(x + -5) + -2(3x + 4) = 5x + -6 Reorder the terms: 8(-5 + x) + -2(3x + 4) = 5x + -6 (-5 * 8 + x * 8) + -2(3x + 4) = 5x + -6 (-40 + 8x) + -2(3x + 4) = 5x + -6 Reorder the terms: -40 + 8x + -2(4 + 3x) = 5x + -6 -40 + 8x + (4 * -2 + 3x * -2) = 5x + -6 -40 + 8x + (-8 + -6x) = 5x + -6 Reorder the terms: -40 + -8 + 8x + -6x = 5x + -6 Combine like terms: -40 + -8 = -48 -48 + 8x + -6x = 5x + -6 Combine like terms: 8x + -6x = 2x -48 + 2x = 5x + -6 Reorder the terms: -48 + 2x = -6 + 5x Solving -48 + 2x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -48 + 2x + -5x = -6 + 5x + -5x Combine like terms: 2x + -5x = -3x -48 + -3x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + -3x = -6 + 0 -48 + -3x = -6 Add '48' to each side of the equation. -48 + 48 + -3x = -6 + 48 Combine like terms: -48 + 48 = 0 0 + -3x = -6 + 48 -3x = -6 + 48 Combine like terms: -6 + 48 = 42 -3x = 42 Divide each side by '-3'. x = -14 Simplifying x = -14
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