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Simplifying 61 = 3(x + 3) + 2(6x + -4) Reorder the terms: 61 = 3(3 + x) + 2(6x + -4) 61 = (3 * 3 + x * 3) + 2(6x + -4) 61 = (9 + 3x) + 2(6x + -4) Reorder the terms: 61 = 9 + 3x + 2(-4 + 6x) 61 = 9 + 3x + (-4 * 2 + 6x * 2) 61 = 9 + 3x + (-8 + 12x) Reorder the terms: 61 = 9 + -8 + 3x + 12x Combine like terms: 9 + -8 = 1 61 = 1 + 3x + 12x Combine like terms: 3x + 12x = 15x 61 = 1 + 15x Solving 61 = 1 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 61 + -15x = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 61 + -15x = 1 + 0 61 + -15x = 1 Add '-61' to each side of the equation. 61 + -61 + -15x = 1 + -61 Combine like terms: 61 + -61 = 0 0 + -15x = 1 + -61 -15x = 1 + -61 Combine like terms: 1 + -61 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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