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Simplifying 3(x + -5) = 4(7x + -10) Reorder the terms: 3(-5 + x) = 4(7x + -10) (-5 * 3 + x * 3) = 4(7x + -10) (-15 + 3x) = 4(7x + -10) Reorder the terms: -15 + 3x = 4(-10 + 7x) -15 + 3x = (-10 * 4 + 7x * 4) -15 + 3x = (-40 + 28x) Solving -15 + 3x = -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. -15 + 3x + -28x = -40 + 28x + -28x Combine like terms: 3x + -28x = -25x -15 + -25x = -40 + 28x + -28x Combine like terms: 28x + -28x = 0 -15 + -25x = -40 + 0 -15 + -25x = -40 Add '15' to each side of the equation. -15 + 15 + -25x = -40 + 15 Combine like terms: -15 + 15 = 0 0 + -25x = -40 + 15 -25x = -40 + 15 Combine like terms: -40 + 15 = -25 -25x = -25 Divide each side by '-25'. x = 1 Simplifying x = 1
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