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Simplifying 5(x + -4) + -3(4x + 1) = 2x + -1 Reorder the terms: 5(-4 + x) + -3(4x + 1) = 2x + -1 (-4 * 5 + x * 5) + -3(4x + 1) = 2x + -1 (-20 + 5x) + -3(4x + 1) = 2x + -1 Reorder the terms: -20 + 5x + -3(1 + 4x) = 2x + -1 -20 + 5x + (1 * -3 + 4x * -3) = 2x + -1 -20 + 5x + (-3 + -12x) = 2x + -1 Reorder the terms: -20 + -3 + 5x + -12x = 2x + -1 Combine like terms: -20 + -3 = -23 -23 + 5x + -12x = 2x + -1 Combine like terms: 5x + -12x = -7x -23 + -7x = 2x + -1 Reorder the terms: -23 + -7x = -1 + 2x Solving -23 + -7x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -23 + -7x + -2x = -1 + 2x + -2x Combine like terms: -7x + -2x = -9x -23 + -9x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + -9x = -1 + 0 -23 + -9x = -1 Add '23' to each side of the equation. -23 + 23 + -9x = -1 + 23 Combine like terms: -23 + 23 = 0 0 + -9x = -1 + 23 -9x = -1 + 23 Combine like terms: -1 + 23 = 22 -9x = 22 Divide each side by '-9'. x = -2.444444444 Simplifying x = -2.444444444
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