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Simplifying -5(6x + 8) = -2(5x + 2) + -2x Reorder the terms: -5(8 + 6x) = -2(5x + 2) + -2x (8 * -5 + 6x * -5) = -2(5x + 2) + -2x (-40 + -30x) = -2(5x + 2) + -2x Reorder the terms: -40 + -30x = -2(2 + 5x) + -2x -40 + -30x = (2 * -2 + 5x * -2) + -2x -40 + -30x = (-4 + -10x) + -2x Combine like terms: -10x + -2x = -12x -40 + -30x = -4 + -12x Solving -40 + -30x = -4 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -40 + -30x + 12x = -4 + -12x + 12x Combine like terms: -30x + 12x = -18x -40 + -18x = -4 + -12x + 12x Combine like terms: -12x + 12x = 0 -40 + -18x = -4 + 0 -40 + -18x = -4 Add '40' to each side of the equation. -40 + 40 + -18x = -4 + 40 Combine like terms: -40 + 40 = 0 0 + -18x = -4 + 40 -18x = -4 + 40 Combine like terms: -4 + 40 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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