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Simplifying 4(x + 3) + 7x + 12 = 13x + 20 Reorder the terms: 4(3 + x) + 7x + 12 = 13x + 20 (3 * 4 + x * 4) + 7x + 12 = 13x + 20 (12 + 4x) + 7x + 12 = 13x + 20 Reorder the terms: 12 + 12 + 4x + 7x = 13x + 20 Combine like terms: 12 + 12 = 24 24 + 4x + 7x = 13x + 20 Combine like terms: 4x + 7x = 11x 24 + 11x = 13x + 20 Reorder the terms: 24 + 11x = 20 + 13x Solving 24 + 11x = 20 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 24 + 11x + -13x = 20 + 13x + -13x Combine like terms: 11x + -13x = -2x 24 + -2x = 20 + 13x + -13x Combine like terms: 13x + -13x = 0 24 + -2x = 20 + 0 24 + -2x = 20 Add '-24' to each side of the equation. 24 + -24 + -2x = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 20 + -24 -2x = 20 + -24 Combine like terms: 20 + -24 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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