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Simplifying 4(2x + 3) + -3x = 4x + 2 Reorder the terms: 4(3 + 2x) + -3x = 4x + 2 (3 * 4 + 2x * 4) + -3x = 4x + 2 (12 + 8x) + -3x = 4x + 2 Combine like terms: 8x + -3x = 5x 12 + 5x = 4x + 2 Reorder the terms: 12 + 5x = 2 + 4x Solving 12 + 5x = 2 + 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. 12 + 5x + -4x = 2 + 4x + -4x Combine like terms: 5x + -4x = 1x 12 + 1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 1x = 2 + 0 12 + 1x = 2 Add '-12' to each side of the equation. 12 + -12 + 1x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 2 + -12 1x = 2 + -12 Combine like terms: 2 + -12 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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