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Simplifying 3x + 3(x + -2) = 5x + -17 + 2x Reorder the terms: 3x + 3(-2 + x) = 5x + -17 + 2x 3x + (-2 * 3 + x * 3) = 5x + -17 + 2x 3x + (-6 + 3x) = 5x + -17 + 2x Reorder the terms: -6 + 3x + 3x = 5x + -17 + 2x Combine like terms: 3x + 3x = 6x -6 + 6x = 5x + -17 + 2x Reorder the terms: -6 + 6x = -17 + 5x + 2x Combine like terms: 5x + 2x = 7x -6 + 6x = -17 + 7x Solving -6 + 6x = -17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 6x + -7x = -17 + 7x + -7x Combine like terms: 6x + -7x = -1x -6 + -1x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -1x = -17 + 0 -6 + -1x = -17 Add '6' to each side of the equation. -6 + 6 + -1x = -17 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -17 + 6 -1x = -17 + 6 Combine like terms: -17 + 6 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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