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Simplifying -3(7x + 2) + -2x = 5(x + -3) + -1(2 + x) Reorder the terms: -3(2 + 7x) + -2x = 5(x + -3) + -1(2 + x) (2 * -3 + 7x * -3) + -2x = 5(x + -3) + -1(2 + x) (-6 + -21x) + -2x = 5(x + -3) + -1(2 + x) Combine like terms: -21x + -2x = -23x -6 + -23x = 5(x + -3) + -1(2 + x) Reorder the terms: -6 + -23x = 5(-3 + x) + -1(2 + x) -6 + -23x = (-3 * 5 + x * 5) + -1(2 + x) -6 + -23x = (-15 + 5x) + -1(2 + x) -6 + -23x = -15 + 5x + (2 * -1 + x * -1) -6 + -23x = -15 + 5x + (-2 + -1x) Reorder the terms: -6 + -23x = -15 + -2 + 5x + -1x Combine like terms: -15 + -2 = -17 -6 + -23x = -17 + 5x + -1x Combine like terms: 5x + -1x = 4x -6 + -23x = -17 + 4x Solving -6 + -23x = -17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + -23x + -4x = -17 + 4x + -4x Combine like terms: -23x + -4x = -27x -6 + -27x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -27x = -17 + 0 -6 + -27x = -17 Add '6' to each side of the equation. -6 + 6 + -27x = -17 + 6 Combine like terms: -6 + 6 = 0 0 + -27x = -17 + 6 -27x = -17 + 6 Combine like terms: -17 + 6 = -11 -27x = -11 Divide each side by '-27'. x = 0.4074074074 Simplifying x = 0.4074074074
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