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Simplifying 5(x + -4) = 2(-1x + 3) + 4(4x + 1) Reorder the terms: 5(-4 + x) = 2(-1x + 3) + 4(4x + 1) (-4 * 5 + x * 5) = 2(-1x + 3) + 4(4x + 1) (-20 + 5x) = 2(-1x + 3) + 4(4x + 1) Reorder the terms: -20 + 5x = 2(3 + -1x) + 4(4x + 1) -20 + 5x = (3 * 2 + -1x * 2) + 4(4x + 1) -20 + 5x = (6 + -2x) + 4(4x + 1) Reorder the terms: -20 + 5x = 6 + -2x + 4(1 + 4x) -20 + 5x = 6 + -2x + (1 * 4 + 4x * 4) -20 + 5x = 6 + -2x + (4 + 16x) Reorder the terms: -20 + 5x = 6 + 4 + -2x + 16x Combine like terms: 6 + 4 = 10 -20 + 5x = 10 + -2x + 16x Combine like terms: -2x + 16x = 14x -20 + 5x = 10 + 14x Solving -20 + 5x = 10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -20 + 5x + -14x = 10 + 14x + -14x Combine like terms: 5x + -14x = -9x -20 + -9x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 -20 + -9x = 10 + 0 -20 + -9x = 10 Add '20' to each side of the equation. -20 + 20 + -9x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -9x = 10 + 20 -9x = 10 + 20 Combine like terms: 10 + 20 = 30 -9x = 30 Divide each side by '-9'. x = -3.333333333 Simplifying x = -3.333333333
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