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Simplifying 6(x + 3) + -4(x + 7) + x + -3 = 72 Reorder the terms: 6(3 + x) + -4(x + 7) + x + -3 = 72 (3 * 6 + x * 6) + -4(x + 7) + x + -3 = 72 (18 + 6x) + -4(x + 7) + x + -3 = 72 Reorder the terms: 18 + 6x + -4(7 + x) + x + -3 = 72 18 + 6x + (7 * -4 + x * -4) + x + -3 = 72 18 + 6x + (-28 + -4x) + x + -3 = 72 Reorder the terms: 18 + -28 + -3 + 6x + -4x + x = 72 Combine like terms: 18 + -28 = -10 -10 + -3 + 6x + -4x + x = 72 Combine like terms: -10 + -3 = -13 -13 + 6x + -4x + x = 72 Combine like terms: 6x + -4x = 2x -13 + 2x + x = 72 Combine like terms: 2x + x = 3x -13 + 3x = 72 Solving -13 + 3x = 72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3x = 72 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 72 + 13 3x = 72 + 13 Combine like terms: 72 + 13 = 85 3x = 85 Divide each side by '3'. x = 28.33333333 Simplifying x = 28.33333333
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