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Simplifying 2(15x + -20) = 5(8x + -6) Reorder the terms: 2(-20 + 15x) = 5(8x + -6) (-20 * 2 + 15x * 2) = 5(8x + -6) (-40 + 30x) = 5(8x + -6) Reorder the terms: -40 + 30x = 5(-6 + 8x) -40 + 30x = (-6 * 5 + 8x * 5) -40 + 30x = (-30 + 40x) Solving -40 + 30x = -30 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -40 + 30x + -40x = -30 + 40x + -40x Combine like terms: 30x + -40x = -10x -40 + -10x = -30 + 40x + -40x Combine like terms: 40x + -40x = 0 -40 + -10x = -30 + 0 -40 + -10x = -30 Add '40' to each side of the equation. -40 + 40 + -10x = -30 + 40 Combine like terms: -40 + 40 = 0 0 + -10x = -30 + 40 -10x = -30 + 40 Combine like terms: -30 + 40 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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