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Simplifying 4(2x + 3) + 6(3x + 5) = 70 Reorder the terms: 4(3 + 2x) + 6(3x + 5) = 70 (3 * 4 + 2x * 4) + 6(3x + 5) = 70 (12 + 8x) + 6(3x + 5) = 70 Reorder the terms: 12 + 8x + 6(5 + 3x) = 70 12 + 8x + (5 * 6 + 3x * 6) = 70 12 + 8x + (30 + 18x) = 70 Reorder the terms: 12 + 30 + 8x + 18x = 70 Combine like terms: 12 + 30 = 42 42 + 8x + 18x = 70 Combine like terms: 8x + 18x = 26x 42 + 26x = 70 Solving 42 + 26x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 26x = 70 + -42 Combine like terms: 42 + -42 = 0 0 + 26x = 70 + -42 26x = 70 + -42 Combine like terms: 70 + -42 = 28 26x = 28 Divide each side by '26'. x = 1.076923077 Simplifying x = 1.076923077
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