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Simplifying 3x + -4(x + 1) = 5x + -3(x + 2) Reorder the terms: 3x + -4(1 + x) = 5x + -3(x + 2) 3x + (1 * -4 + x * -4) = 5x + -3(x + 2) 3x + (-4 + -4x) = 5x + -3(x + 2) Reorder the terms: -4 + 3x + -4x = 5x + -3(x + 2) Combine like terms: 3x + -4x = -1x -4 + -1x = 5x + -3(x + 2) Reorder the terms: -4 + -1x = 5x + -3(2 + x) -4 + -1x = 5x + (2 * -3 + x * -3) -4 + -1x = 5x + (-6 + -3x) Reorder the terms: -4 + -1x = -6 + 5x + -3x Combine like terms: 5x + -3x = 2x -4 + -1x = -6 + 2x Solving -4 + -1x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -1x + -2x = -6 + 2x + -2x Combine like terms: -1x + -2x = -3x -4 + -3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -3x = -6 + 0 -4 + -3x = -6 Add '4' to each side of the equation. -4 + 4 + -3x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -6 + 4 -3x = -6 + 4 Combine like terms: -6 + 4 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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