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Simplifying (2x + -1) + 2(x + -1) = 4(5x + -3) Reorder the terms: (-1 + 2x) + 2(x + -1) = 4(5x + -3) Remove parenthesis around (-1 + 2x) -1 + 2x + 2(x + -1) = 4(5x + -3) Reorder the terms: -1 + 2x + 2(-1 + x) = 4(5x + -3) -1 + 2x + (-1 * 2 + x * 2) = 4(5x + -3) -1 + 2x + (-2 + 2x) = 4(5x + -3) Reorder the terms: -1 + -2 + 2x + 2x = 4(5x + -3) Combine like terms: -1 + -2 = -3 -3 + 2x + 2x = 4(5x + -3) Combine like terms: 2x + 2x = 4x -3 + 4x = 4(5x + -3) Reorder the terms: -3 + 4x = 4(-3 + 5x) -3 + 4x = (-3 * 4 + 5x * 4) -3 + 4x = (-12 + 20x) Solving -3 + 4x = -12 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -3 + 4x + -20x = -12 + 20x + -20x Combine like terms: 4x + -20x = -16x -3 + -16x = -12 + 20x + -20x Combine like terms: 20x + -20x = 0 -3 + -16x = -12 + 0 -3 + -16x = -12 Add '3' to each side of the equation. -3 + 3 + -16x = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -16x = -12 + 3 -16x = -12 + 3 Combine like terms: -12 + 3 = -9 -16x = -9 Divide each side by '-16'. x = 0.5625 Simplifying x = 0.5625
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