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Simplifying 5x + 40 = 6(x + 3) + 3(x + 2) Reorder the terms: 40 + 5x = 6(x + 3) + 3(x + 2) Reorder the terms: 40 + 5x = 6(3 + x) + 3(x + 2) 40 + 5x = (3 * 6 + x * 6) + 3(x + 2) 40 + 5x = (18 + 6x) + 3(x + 2) Reorder the terms: 40 + 5x = 18 + 6x + 3(2 + x) 40 + 5x = 18 + 6x + (2 * 3 + x * 3) 40 + 5x = 18 + 6x + (6 + 3x) Reorder the terms: 40 + 5x = 18 + 6 + 6x + 3x Combine like terms: 18 + 6 = 24 40 + 5x = 24 + 6x + 3x Combine like terms: 6x + 3x = 9x 40 + 5x = 24 + 9x Solving 40 + 5x = 24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 40 + 5x + -9x = 24 + 9x + -9x Combine like terms: 5x + -9x = -4x 40 + -4x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 40 + -4x = 24 + 0 40 + -4x = 24 Add '-40' to each side of the equation. 40 + -40 + -4x = 24 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = 24 + -40 -4x = 24 + -40 Combine like terms: 24 + -40 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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