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Simplifying 5(x + -4) = 10(3x + -7) Reorder the terms: 5(-4 + x) = 10(3x + -7) (-4 * 5 + x * 5) = 10(3x + -7) (-20 + 5x) = 10(3x + -7) Reorder the terms: -20 + 5x = 10(-7 + 3x) -20 + 5x = (-7 * 10 + 3x * 10) -20 + 5x = (-70 + 30x) Solving -20 + 5x = -70 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -20 + 5x + -30x = -70 + 30x + -30x Combine like terms: 5x + -30x = -25x -20 + -25x = -70 + 30x + -30x Combine like terms: 30x + -30x = 0 -20 + -25x = -70 + 0 -20 + -25x = -70 Add '20' to each side of the equation. -20 + 20 + -25x = -70 + 20 Combine like terms: -20 + 20 = 0 0 + -25x = -70 + 20 -25x = -70 + 20 Combine like terms: -70 + 20 = -50 -25x = -50 Divide each side by '-25'. x = 2 Simplifying x = 2
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