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Simplifying 5(3x + 2) + 3(2x + -3) = 4x + 69 Reorder the terms: 5(2 + 3x) + 3(2x + -3) = 4x + 69 (2 * 5 + 3x * 5) + 3(2x + -3) = 4x + 69 (10 + 15x) + 3(2x + -3) = 4x + 69 Reorder the terms: 10 + 15x + 3(-3 + 2x) = 4x + 69 10 + 15x + (-3 * 3 + 2x * 3) = 4x + 69 10 + 15x + (-9 + 6x) = 4x + 69 Reorder the terms: 10 + -9 + 15x + 6x = 4x + 69 Combine like terms: 10 + -9 = 1 1 + 15x + 6x = 4x + 69 Combine like terms: 15x + 6x = 21x 1 + 21x = 4x + 69 Reorder the terms: 1 + 21x = 69 + 4x Solving 1 + 21x = 69 + 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. 1 + 21x + -4x = 69 + 4x + -4x Combine like terms: 21x + -4x = 17x 1 + 17x = 69 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 17x = 69 + 0 1 + 17x = 69 Add '-1' to each side of the equation. 1 + -1 + 17x = 69 + -1 Combine like terms: 1 + -1 = 0 0 + 17x = 69 + -1 17x = 69 + -1 Combine like terms: 69 + -1 = 68 17x = 68 Divide each side by '17'. x = 4 Simplifying x = 4
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