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Simplifying 20(5x + -25) = -3(x + -4) + -1 Reorder the terms: 20(-25 + 5x) = -3(x + -4) + -1 (-25 * 20 + 5x * 20) = -3(x + -4) + -1 (-500 + 100x) = -3(x + -4) + -1 Reorder the terms: -500 + 100x = -3(-4 + x) + -1 -500 + 100x = (-4 * -3 + x * -3) + -1 -500 + 100x = (12 + -3x) + -1 Reorder the terms: -500 + 100x = 12 + -1 + -3x Combine like terms: 12 + -1 = 11 -500 + 100x = 11 + -3x Solving -500 + 100x = 11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -500 + 100x + 3x = 11 + -3x + 3x Combine like terms: 100x + 3x = 103x -500 + 103x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -500 + 103x = 11 + 0 -500 + 103x = 11 Add '500' to each side of the equation. -500 + 500 + 103x = 11 + 500 Combine like terms: -500 + 500 = 0 0 + 103x = 11 + 500 103x = 11 + 500 Combine like terms: 11 + 500 = 511 103x = 511 Divide each side by '103'. x = 4.961165049 Simplifying x = 4.961165049
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