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Simplifying 4(3x + 4) + 3(2x + -3) = 61 Reorder the terms: 4(4 + 3x) + 3(2x + -3) = 61 (4 * 4 + 3x * 4) + 3(2x + -3) = 61 (16 + 12x) + 3(2x + -3) = 61 Reorder the terms: 16 + 12x + 3(-3 + 2x) = 61 16 + 12x + (-3 * 3 + 2x * 3) = 61 16 + 12x + (-9 + 6x) = 61 Reorder the terms: 16 + -9 + 12x + 6x = 61 Combine like terms: 16 + -9 = 7 7 + 12x + 6x = 61 Combine like terms: 12x + 6x = 18x 7 + 18x = 61 Solving 7 + 18x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 18x = 61 + -7 Combine like terms: 7 + -7 = 0 0 + 18x = 61 + -7 18x = 61 + -7 Combine like terms: 61 + -7 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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