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Simplifying 10(-3x + -8) = 4(-7x + -10) Reorder the terms: 10(-8 + -3x) = 4(-7x + -10) (-8 * 10 + -3x * 10) = 4(-7x + -10) (-80 + -30x) = 4(-7x + -10) Reorder the terms: -80 + -30x = 4(-10 + -7x) -80 + -30x = (-10 * 4 + -7x * 4) -80 + -30x = (-40 + -28x) Solving -80 + -30x = -40 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -80 + -30x + 28x = -40 + -28x + 28x Combine like terms: -30x + 28x = -2x -80 + -2x = -40 + -28x + 28x Combine like terms: -28x + 28x = 0 -80 + -2x = -40 + 0 -80 + -2x = -40 Add '80' to each side of the equation. -80 + 80 + -2x = -40 + 80 Combine like terms: -80 + 80 = 0 0 + -2x = -40 + 80 -2x = -40 + 80 Combine like terms: -40 + 80 = 40 -2x = 40 Divide each side by '-2'. x = -20 Simplifying x = -20
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