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Simplifying 5(3x + -1) + 12 = 4(2x + 3) + 9 Reorder the terms: 5(-1 + 3x) + 12 = 4(2x + 3) + 9 (-1 * 5 + 3x * 5) + 12 = 4(2x + 3) + 9 (-5 + 15x) + 12 = 4(2x + 3) + 9 Reorder the terms: -5 + 12 + 15x = 4(2x + 3) + 9 Combine like terms: -5 + 12 = 7 7 + 15x = 4(2x + 3) + 9 Reorder the terms: 7 + 15x = 4(3 + 2x) + 9 7 + 15x = (3 * 4 + 2x * 4) + 9 7 + 15x = (12 + 8x) + 9 Reorder the terms: 7 + 15x = 12 + 9 + 8x Combine like terms: 12 + 9 = 21 7 + 15x = 21 + 8x Solving 7 + 15x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 15x + -8x = 21 + 8x + -8x Combine like terms: 15x + -8x = 7x 7 + 7x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + 7x = 21 + 0 7 + 7x = 21 Add '-7' to each side of the equation. 7 + -7 + 7x = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 21 + -7 7x = 21 + -7 Combine like terms: 21 + -7 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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