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Simplifying 3x + 3(x + -1) = 5x + -23 + 2x Reorder the terms: 3x + 3(-1 + x) = 5x + -23 + 2x 3x + (-1 * 3 + x * 3) = 5x + -23 + 2x 3x + (-3 + 3x) = 5x + -23 + 2x Reorder the terms: -3 + 3x + 3x = 5x + -23 + 2x Combine like terms: 3x + 3x = 6x -3 + 6x = 5x + -23 + 2x Reorder the terms: -3 + 6x = -23 + 5x + 2x Combine like terms: 5x + 2x = 7x -3 + 6x = -23 + 7x Solving -3 + 6x = -23 + 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. -3 + 6x + -7x = -23 + 7x + -7x Combine like terms: 6x + -7x = -1x -3 + -1x = -23 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -1x = -23 + 0 -3 + -1x = -23 Add '3' to each side of the equation. -3 + 3 + -1x = -23 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -23 + 3 -1x = -23 + 3 Combine like terms: -23 + 3 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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