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Simplifying 5x + -1 + 4(x + -3) = (3x + -2) + -3(x + 2) Reorder the terms: 5x + -1 + 4(-3 + x) = (3x + -2) + -3(x + 2) 5x + -1 + (-3 * 4 + x * 4) = (3x + -2) + -3(x + 2) 5x + -1 + (-12 + 4x) = (3x + -2) + -3(x + 2) Reorder the terms: -1 + -12 + 5x + 4x = (3x + -2) + -3(x + 2) Combine like terms: -1 + -12 = -13 -13 + 5x + 4x = (3x + -2) + -3(x + 2) Combine like terms: 5x + 4x = 9x -13 + 9x = (3x + -2) + -3(x + 2) Reorder the terms: -13 + 9x = (-2 + 3x) + -3(x + 2) Remove parenthesis around (-2 + 3x) -13 + 9x = -2 + 3x + -3(x + 2) Reorder the terms: -13 + 9x = -2 + 3x + -3(2 + x) -13 + 9x = -2 + 3x + (2 * -3 + x * -3) -13 + 9x = -2 + 3x + (-6 + -3x) Reorder the terms: -13 + 9x = -2 + -6 + 3x + -3x Combine like terms: -2 + -6 = -8 -13 + 9x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 9x = -8 + 0 -13 + 9x = -8 Solving -13 + 9x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 9x = -8 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = -8 + 13 9x = -8 + 13 Combine like terms: -8 + 13 = 5 9x = 5 Divide each side by '9'. x = 0.5555555556 Simplifying x = 0.5555555556
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