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Simplifying 5(x + -3) + -1(2x + 1) = 4(x + -1) + -1 Reorder the terms: 5(-3 + x) + -1(2x + 1) = 4(x + -1) + -1 (-3 * 5 + x * 5) + -1(2x + 1) = 4(x + -1) + -1 (-15 + 5x) + -1(2x + 1) = 4(x + -1) + -1 Reorder the terms: -15 + 5x + -1(1 + 2x) = 4(x + -1) + -1 -15 + 5x + (1 * -1 + 2x * -1) = 4(x + -1) + -1 -15 + 5x + (-1 + -2x) = 4(x + -1) + -1 Reorder the terms: -15 + -1 + 5x + -2x = 4(x + -1) + -1 Combine like terms: -15 + -1 = -16 -16 + 5x + -2x = 4(x + -1) + -1 Combine like terms: 5x + -2x = 3x -16 + 3x = 4(x + -1) + -1 Reorder the terms: -16 + 3x = 4(-1 + x) + -1 -16 + 3x = (-1 * 4 + x * 4) + -1 -16 + 3x = (-4 + 4x) + -1 Reorder the terms: -16 + 3x = -4 + -1 + 4x Combine like terms: -4 + -1 = -5 -16 + 3x = -5 + 4x Solving -16 + 3x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -16 + 3x + -4x = -5 + 4x + -4x Combine like terms: 3x + -4x = -1x -16 + -1x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + -1x = -5 + 0 -16 + -1x = -5 Add '16' to each side of the equation. -16 + 16 + -1x = -5 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -5 + 16 -1x = -5 + 16 Combine like terms: -5 + 16 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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