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Simplifying -7x + 3(6x + 4) = 2(3x + -3) + 4(x + 5) Reorder the terms: -7x + 3(4 + 6x) = 2(3x + -3) + 4(x + 5) -7x + (4 * 3 + 6x * 3) = 2(3x + -3) + 4(x + 5) -7x + (12 + 18x) = 2(3x + -3) + 4(x + 5) Reorder the terms: 12 + -7x + 18x = 2(3x + -3) + 4(x + 5) Combine like terms: -7x + 18x = 11x 12 + 11x = 2(3x + -3) + 4(x + 5) Reorder the terms: 12 + 11x = 2(-3 + 3x) + 4(x + 5) 12 + 11x = (-3 * 2 + 3x * 2) + 4(x + 5) 12 + 11x = (-6 + 6x) + 4(x + 5) Reorder the terms: 12 + 11x = -6 + 6x + 4(5 + x) 12 + 11x = -6 + 6x + (5 * 4 + x * 4) 12 + 11x = -6 + 6x + (20 + 4x) Reorder the terms: 12 + 11x = -6 + 20 + 6x + 4x Combine like terms: -6 + 20 = 14 12 + 11x = 14 + 6x + 4x Combine like terms: 6x + 4x = 10x 12 + 11x = 14 + 10x Solving 12 + 11x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 11x + -10x = 14 + 10x + -10x Combine like terms: 11x + -10x = 1x 12 + 1x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + 1x = 14 + 0 12 + 1x = 14 Add '-12' to each side of the equation. 12 + -12 + 1x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 14 + -12 1x = 14 + -12 Combine like terms: 14 + -12 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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