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