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Simplifying 3x + -5(x + -2) = 5 + 4x + 13 Reorder the terms: 3x + -5(-2 + x) = 5 + 4x + 13 3x + (-2 * -5 + x * -5) = 5 + 4x + 13 3x + (10 + -5x) = 5 + 4x + 13 Reorder the terms: 10 + 3x + -5x = 5 + 4x + 13 Combine like terms: 3x + -5x = -2x 10 + -2x = 5 + 4x + 13 Reorder the terms: 10 + -2x = 5 + 13 + 4x Combine like terms: 5 + 13 = 18 10 + -2x = 18 + 4x Solving 10 + -2x = 18 + 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. 10 + -2x + -4x = 18 + 4x + -4x Combine like terms: -2x + -4x = -6x 10 + -6x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -6x = 18 + 0 10 + -6x = 18 Add '-10' to each side of the equation. 10 + -10 + -6x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 18 + -10 -6x = 18 + -10 Combine like terms: 18 + -10 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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