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Simplifying 5(x + -3) + -1(4x + 1) = 4 + -2(1 + -5x) Reorder the terms: 5(-3 + x) + -1(4x + 1) = 4 + -2(1 + -5x) (-3 * 5 + x * 5) + -1(4x + 1) = 4 + -2(1 + -5x) (-15 + 5x) + -1(4x + 1) = 4 + -2(1 + -5x) Reorder the terms: -15 + 5x + -1(1 + 4x) = 4 + -2(1 + -5x) -15 + 5x + (1 * -1 + 4x * -1) = 4 + -2(1 + -5x) -15 + 5x + (-1 + -4x) = 4 + -2(1 + -5x) Reorder the terms: -15 + -1 + 5x + -4x = 4 + -2(1 + -5x) Combine like terms: -15 + -1 = -16 -16 + 5x + -4x = 4 + -2(1 + -5x) Combine like terms: 5x + -4x = 1x -16 + 1x = 4 + -2(1 + -5x) -16 + 1x = 4 + (1 * -2 + -5x * -2) -16 + 1x = 4 + (-2 + 10x) Combine like terms: 4 + -2 = 2 -16 + 1x = 2 + 10x Solving -16 + 1x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -16 + 1x + -10x = 2 + 10x + -10x Combine like terms: 1x + -10x = -9x -16 + -9x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -16 + -9x = 2 + 0 -16 + -9x = 2 Add '16' to each side of the equation. -16 + 16 + -9x = 2 + 16 Combine like terms: -16 + 16 = 0 0 + -9x = 2 + 16 -9x = 2 + 16 Combine like terms: 2 + 16 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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