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Simplifying 4(x + -1) + -2(3x + -2) = 3 + -5(x + -3) Reorder the terms: 4(-1 + x) + -2(3x + -2) = 3 + -5(x + -3) (-1 * 4 + x * 4) + -2(3x + -2) = 3 + -5(x + -3) (-4 + 4x) + -2(3x + -2) = 3 + -5(x + -3) Reorder the terms: -4 + 4x + -2(-2 + 3x) = 3 + -5(x + -3) -4 + 4x + (-2 * -2 + 3x * -2) = 3 + -5(x + -3) -4 + 4x + (4 + -6x) = 3 + -5(x + -3) Reorder the terms: -4 + 4 + 4x + -6x = 3 + -5(x + -3) Combine like terms: -4 + 4 = 0 0 + 4x + -6x = 3 + -5(x + -3) 4x + -6x = 3 + -5(x + -3) Combine like terms: 4x + -6x = -2x -2x = 3 + -5(x + -3) Reorder the terms: -2x = 3 + -5(-3 + x) -2x = 3 + (-3 * -5 + x * -5) -2x = 3 + (15 + -5x) Combine like terms: 3 + 15 = 18 -2x = 18 + -5x Solving -2x = 18 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2x + 5x = 18 + -5x + 5x Combine like terms: -2x + 5x = 3x 3x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 3x = 18 + 0 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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