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Simplifying 7 + 4(5x + -5) = 5 + -4(2x + 1) Reorder the terms: 7 + 4(-5 + 5x) = 5 + -4(2x + 1) 7 + (-5 * 4 + 5x * 4) = 5 + -4(2x + 1) 7 + (-20 + 20x) = 5 + -4(2x + 1) Combine like terms: 7 + -20 = -13 -13 + 20x = 5 + -4(2x + 1) Reorder the terms: -13 + 20x = 5 + -4(1 + 2x) -13 + 20x = 5 + (1 * -4 + 2x * -4) -13 + 20x = 5 + (-4 + -8x) Combine like terms: 5 + -4 = 1 -13 + 20x = 1 + -8x Solving -13 + 20x = 1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -13 + 20x + 8x = 1 + -8x + 8x Combine like terms: 20x + 8x = 28x -13 + 28x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -13 + 28x = 1 + 0 -13 + 28x = 1 Add '13' to each side of the equation. -13 + 13 + 28x = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 28x = 1 + 13 28x = 1 + 13 Combine like terms: 1 + 13 = 14 28x = 14 Divide each side by '28'. x = 0.5 Simplifying x = 0.5
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