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Simplifying (3 + x) * 8 + -2x = 4x + 3 Reorder the terms for easier multiplication: 8(3 + x) + -2x = 4x + 3 (3 * 8 + x * 8) + -2x = 4x + 3 (24 + 8x) + -2x = 4x + 3 Combine like terms: 8x + -2x = 6x 24 + 6x = 4x + 3 Reorder the terms: 24 + 6x = 3 + 4x Solving 24 + 6x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 6x + -4x = 3 + 4x + -4x Combine like terms: 6x + -4x = 2x 24 + 2x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 2x = 3 + 0 24 + 2x = 3 Add '-24' to each side of the equation. 24 + -24 + 2x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 3 + -24 2x = 3 + -24 Combine like terms: 3 + -24 = -21 2x = -21 Divide each side by '2'. x = -10.5 Simplifying x = -10.5
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