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Simplifying 3(x + 4) + -8 = 2x + 3 Reorder the terms: 3(4 + x) + -8 = 2x + 3 (4 * 3 + x * 3) + -8 = 2x + 3 (12 + 3x) + -8 = 2x + 3 Reorder the terms: 12 + -8 + 3x = 2x + 3 Combine like terms: 12 + -8 = 4 4 + 3x = 2x + 3 Reorder the terms: 4 + 3x = 3 + 2x Solving 4 + 3x = 3 + 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. 4 + 3x + -2x = 3 + 2x + -2x Combine like terms: 3x + -2x = 1x 4 + 1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 1x = 3 + 0 4 + 1x = 3 Add '-4' to each side of the equation. 4 + -4 + 1x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 3 + -4 1x = 3 + -4 Combine like terms: 3 + -4 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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