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Simplifying 5(3x + 2) + 2(3x + -2) = 5x + 70 Reorder the terms: 5(2 + 3x) + 2(3x + -2) = 5x + 70 (2 * 5 + 3x * 5) + 2(3x + -2) = 5x + 70 (10 + 15x) + 2(3x + -2) = 5x + 70 Reorder the terms: 10 + 15x + 2(-2 + 3x) = 5x + 70 10 + 15x + (-2 * 2 + 3x * 2) = 5x + 70 10 + 15x + (-4 + 6x) = 5x + 70 Reorder the terms: 10 + -4 + 15x + 6x = 5x + 70 Combine like terms: 10 + -4 = 6 6 + 15x + 6x = 5x + 70 Combine like terms: 15x + 6x = 21x 6 + 21x = 5x + 70 Reorder the terms: 6 + 21x = 70 + 5x Solving 6 + 21x = 70 + 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. 6 + 21x + -5x = 70 + 5x + -5x Combine like terms: 21x + -5x = 16x 6 + 16x = 70 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 16x = 70 + 0 6 + 16x = 70 Add '-6' to each side of the equation. 6 + -6 + 16x = 70 + -6 Combine like terms: 6 + -6 = 0 0 + 16x = 70 + -6 16x = 70 + -6 Combine like terms: 70 + -6 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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