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Simplifying 4(2x + 3) = 5x + 7 Reorder the terms: 4(3 + 2x) = 5x + 7 (3 * 4 + 2x * 4) = 5x + 7 (12 + 8x) = 5x + 7 Reorder the terms: 12 + 8x = 7 + 5x Solving 12 + 8x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 8x + -5x = 7 + 5x + -5x Combine like terms: 8x + -5x = 3x 12 + 3x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 3x = 7 + 0 12 + 3x = 7 Add '-12' to each side of the equation. 12 + -12 + 3x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 7 + -12 3x = 7 + -12 Combine like terms: 7 + -12 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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