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Simplifying 23x + -5(3x + 2) = 2x + 2 Reorder the terms: 23x + -5(2 + 3x) = 2x + 2 23x + (2 * -5 + 3x * -5) = 2x + 2 23x + (-10 + -15x) = 2x + 2 Reorder the terms: -10 + 23x + -15x = 2x + 2 Combine like terms: 23x + -15x = 8x -10 + 8x = 2x + 2 Reorder the terms: -10 + 8x = 2 + 2x Solving -10 + 8x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 8x + -2x = 2 + 2x + -2x Combine like terms: 8x + -2x = 6x -10 + 6x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 6x = 2 + 0 -10 + 6x = 2 Add '10' to each side of the equation. -10 + 10 + 6x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 2 + 10 6x = 2 + 10 Combine like terms: 2 + 10 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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