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