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Simplifying 4(7x + 10) = 3(9x + -5) Reorder the terms: 4(10 + 7x) = 3(9x + -5) (10 * 4 + 7x * 4) = 3(9x + -5) (40 + 28x) = 3(9x + -5) Reorder the terms: 40 + 28x = 3(-5 + 9x) 40 + 28x = (-5 * 3 + 9x * 3) 40 + 28x = (-15 + 27x) Solving 40 + 28x = -15 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 40 + 28x + -27x = -15 + 27x + -27x Combine like terms: 28x + -27x = 1x 40 + 1x = -15 + 27x + -27x Combine like terms: 27x + -27x = 0 40 + 1x = -15 + 0 40 + 1x = -15 Add '-40' to each side of the equation. 40 + -40 + 1x = -15 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = -15 + -40 1x = -15 + -40 Combine like terms: -15 + -40 = -55 1x = -55 Divide each side by '1'. x = -55 Simplifying x = -55
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