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Simplifying 2(x + -6) + 9(7 + -2) = 5(x + 3) Reorder the terms: 2(-6 + x) + 9(7 + -2) = 5(x + 3) (-6 * 2 + x * 2) + 9(7 + -2) = 5(x + 3) (-12 + 2x) + 9(7 + -2) = 5(x + 3) Combine like terms: 7 + -2 = 5 -12 + 2x + 9(5) = 5(x + 3) Multiply 9 * 5 -12 + 2x + 45 = 5(x + 3) Reorder the terms: -12 + 45 + 2x = 5(x + 3) Combine like terms: -12 + 45 = 33 33 + 2x = 5(x + 3) Reorder the terms: 33 + 2x = 5(3 + x) 33 + 2x = (3 * 5 + x * 5) 33 + 2x = (15 + 5x) Solving 33 + 2x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 33 + 2x + -5x = 15 + 5x + -5x Combine like terms: 2x + -5x = -3x 33 + -3x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 33 + -3x = 15 + 0 33 + -3x = 15 Add '-33' to each side of the equation. 33 + -33 + -3x = 15 + -33 Combine like terms: 33 + -33 = 0 0 + -3x = 15 + -33 -3x = 15 + -33 Combine like terms: 15 + -33 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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