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Simplifying 40 = 6(5 + 3x) + 7(6 + -2x) 40 = (5 * 6 + 3x * 6) + 7(6 + -2x) 40 = (30 + 18x) + 7(6 + -2x) 40 = 30 + 18x + (6 * 7 + -2x * 7) 40 = 30 + 18x + (42 + -14x) Reorder the terms: 40 = 30 + 42 + 18x + -14x Combine like terms: 30 + 42 = 72 40 = 72 + 18x + -14x Combine like terms: 18x + -14x = 4x 40 = 72 + 4x Solving 40 = 72 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 40 + -4x = 72 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + -4x = 72 + 0 40 + -4x = 72 Add '-40' to each side of the equation. 40 + -40 + -4x = 72 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = 72 + -40 -4x = 72 + -40 Combine like terms: 72 + -40 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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