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Simplifying 2(x + 3) = 3x + -3x + -1 + -2x + 10 Reorder the terms: 2(3 + x) = 3x + -3x + -1 + -2x + 10 (3 * 2 + x * 2) = 3x + -3x + -1 + -2x + 10 (6 + 2x) = 3x + -3x + -1 + -2x + 10 Reorder the terms: 6 + 2x = -1 + 10 + 3x + -3x + -2x Combine like terms: -1 + 10 = 9 6 + 2x = 9 + 3x + -3x + -2x Combine like terms: 3x + -3x = 0 6 + 2x = 9 + 0 + -2x 6 + 2x = 9 + -2x Solving 6 + 2x = 9 + -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. 6 + 2x + 2x = 9 + -2x + 2x Combine like terms: 2x + 2x = 4x 6 + 4x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 4x = 9 + 0 6 + 4x = 9 Add '-6' to each side of the equation. 6 + -6 + 4x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 9 + -6 4x = 9 + -6 Combine like terms: 9 + -6 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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