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