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Simplifying 3x + -4(x + -2) = 5(x + -3) Reorder the terms: 3x + -4(-2 + x) = 5(x + -3) 3x + (-2 * -4 + x * -4) = 5(x + -3) 3x + (8 + -4x) = 5(x + -3) Reorder the terms: 8 + 3x + -4x = 5(x + -3) Combine like terms: 3x + -4x = -1x 8 + -1x = 5(x + -3) Reorder the terms: 8 + -1x = 5(-3 + x) 8 + -1x = (-3 * 5 + x * 5) 8 + -1x = (-15 + 5x) Solving 8 + -1x = -15 + 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. 8 + -1x + -5x = -15 + 5x + -5x Combine like terms: -1x + -5x = -6x 8 + -6x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -6x = -15 + 0 8 + -6x = -15 Add '-8' to each side of the equation. 8 + -8 + -6x = -15 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -15 + -8 -6x = -15 + -8 Combine like terms: -15 + -8 = -23 -6x = -23 Divide each side by '-6'. x = 3.833333333 Simplifying x = 3.833333333
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