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Simplifying 2x + 3 = 4(2x + 3) + -5x Reorder the terms: 3 + 2x = 4(2x + 3) + -5x Reorder the terms: 3 + 2x = 4(3 + 2x) + -5x 3 + 2x = (3 * 4 + 2x * 4) + -5x 3 + 2x = (12 + 8x) + -5x Combine like terms: 8x + -5x = 3x 3 + 2x = 12 + 3x Solving 3 + 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. 3 + 2x + -3x = 12 + 3x + -3x Combine like terms: 2x + -3x = -1x 3 + -1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -1x = 12 + 0 3 + -1x = 12 Add '-3' to each side of the equation. 3 + -3 + -1x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 12 + -3 -1x = 12 + -3 Combine like terms: 12 + -3 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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