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Simplifying 5 + -2(x + 3) = 12 + 3x Reorder the terms: 5 + -2(3 + x) = 12 + 3x 5 + (3 * -2 + x * -2) = 12 + 3x 5 + (-6 + -2x) = 12 + 3x Combine like terms: 5 + -6 = -1 -1 + -2x = 12 + 3x Solving -1 + -2x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -2x + -3x = 12 + 3x + -3x Combine like terms: -2x + -3x = -5x -1 + -5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -5x = 12 + 0 -1 + -5x = 12 Add '1' to each side of the equation. -1 + 1 + -5x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 12 + 1 -5x = 12 + 1 Combine like terms: 12 + 1 = 13 -5x = 13 Divide each side by '-5'. x = -2.6 Simplifying x = -2.6
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