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Simplifying 5x + 2(-2x + -3) = 3 + -8x Reorder the terms: 5x + 2(-3 + -2x) = 3 + -8x 5x + (-3 * 2 + -2x * 2) = 3 + -8x 5x + (-6 + -4x) = 3 + -8x Reorder the terms: -6 + 5x + -4x = 3 + -8x Combine like terms: 5x + -4x = 1x -6 + 1x = 3 + -8x Solving -6 + 1x = 3 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + 1x + 8x = 3 + -8x + 8x Combine like terms: 1x + 8x = 9x -6 + 9x = 3 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 9x = 3 + 0 -6 + 9x = 3 Add '6' to each side of the equation. -6 + 6 + 9x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 3 + 6 9x = 3 + 6 Combine like terms: 3 + 6 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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