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Simplifying 6x + 3(x + -2) = 5(x + 1) + -2 Reorder the terms: 6x + 3(-2 + x) = 5(x + 1) + -2 6x + (-2 * 3 + x * 3) = 5(x + 1) + -2 6x + (-6 + 3x) = 5(x + 1) + -2 Reorder the terms: -6 + 6x + 3x = 5(x + 1) + -2 Combine like terms: 6x + 3x = 9x -6 + 9x = 5(x + 1) + -2 Reorder the terms: -6 + 9x = 5(1 + x) + -2 -6 + 9x = (1 * 5 + x * 5) + -2 -6 + 9x = (5 + 5x) + -2 Reorder the terms: -6 + 9x = 5 + -2 + 5x Combine like terms: 5 + -2 = 3 -6 + 9x = 3 + 5x Solving -6 + 9x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 9x + -5x = 3 + 5x + -5x Combine like terms: 9x + -5x = 4x -6 + 4x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 4x = 3 + 0 -6 + 4x = 3 Add '6' to each side of the equation. -6 + 6 + 4x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 3 + 6 4x = 3 + 6 Combine like terms: 3 + 6 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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