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Simplifying 5(2x + 3) + -6(x + 2) = 2x + 7 Reorder the terms: 5(3 + 2x) + -6(x + 2) = 2x + 7 (3 * 5 + 2x * 5) + -6(x + 2) = 2x + 7 (15 + 10x) + -6(x + 2) = 2x + 7 Reorder the terms: 15 + 10x + -6(2 + x) = 2x + 7 15 + 10x + (2 * -6 + x * -6) = 2x + 7 15 + 10x + (-12 + -6x) = 2x + 7 Reorder the terms: 15 + -12 + 10x + -6x = 2x + 7 Combine like terms: 15 + -12 = 3 3 + 10x + -6x = 2x + 7 Combine like terms: 10x + -6x = 4x 3 + 4x = 2x + 7 Reorder the terms: 3 + 4x = 7 + 2x Solving 3 + 4x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 4x + -2x = 7 + 2x + -2x Combine like terms: 4x + -2x = 2x 3 + 2x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 2x = 7 + 0 3 + 2x = 7 Add '-3' to each side of the equation. 3 + -3 + 2x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 7 + -3 2x = 7 + -3 Combine like terms: 7 + -3 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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