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Simplifying 4(x + -1) + -5(3 + -1x) = 14x + -2(5 + -3) Reorder the terms: 4(-1 + x) + -5(3 + -1x) = 14x + -2(5 + -3) (-1 * 4 + x * 4) + -5(3 + -1x) = 14x + -2(5 + -3) (-4 + 4x) + -5(3 + -1x) = 14x + -2(5 + -3) -4 + 4x + (3 * -5 + -1x * -5) = 14x + -2(5 + -3) -4 + 4x + (-15 + 5x) = 14x + -2(5 + -3) Reorder the terms: -4 + -15 + 4x + 5x = 14x + -2(5 + -3) Combine like terms: -4 + -15 = -19 -19 + 4x + 5x = 14x + -2(5 + -3) Combine like terms: 4x + 5x = 9x -19 + 9x = 14x + -2(5 + -3) Combine like terms: 5 + -3 = 2 -19 + 9x = 14x + -2(2) Multiply -2 * 2 -19 + 9x = 14x + -4 Reorder the terms: -19 + 9x = -4 + 14x Solving -19 + 9x = -4 + 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. -19 + 9x + -14x = -4 + 14x + -14x Combine like terms: 9x + -14x = -5x -19 + -5x = -4 + 14x + -14x Combine like terms: 14x + -14x = 0 -19 + -5x = -4 + 0 -19 + -5x = -4 Add '19' to each side of the equation. -19 + 19 + -5x = -4 + 19 Combine like terms: -19 + 19 = 0 0 + -5x = -4 + 19 -5x = -4 + 19 Combine like terms: -4 + 19 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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