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Simplifying 3(3x + -2) + 4(2x + 2) = 70 Reorder the terms: 3(-2 + 3x) + 4(2x + 2) = 70 (-2 * 3 + 3x * 3) + 4(2x + 2) = 70 (-6 + 9x) + 4(2x + 2) = 70 Reorder the terms: -6 + 9x + 4(2 + 2x) = 70 -6 + 9x + (2 * 4 + 2x * 4) = 70 -6 + 9x + (8 + 8x) = 70 Reorder the terms: -6 + 8 + 9x + 8x = 70 Combine like terms: -6 + 8 = 2 2 + 9x + 8x = 70 Combine like terms: 9x + 8x = 17x 2 + 17x = 70 Solving 2 + 17x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 17x = 70 + -2 Combine like terms: 2 + -2 = 0 0 + 17x = 70 + -2 17x = 70 + -2 Combine like terms: 70 + -2 = 68 17x = 68 Divide each side by '17'. x = 4 Simplifying x = 4
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