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Simplifying 2(8x + 14) + -5(2x + 3) = 43 Reorder the terms: 2(14 + 8x) + -5(2x + 3) = 43 (14 * 2 + 8x * 2) + -5(2x + 3) = 43 (28 + 16x) + -5(2x + 3) = 43 Reorder the terms: 28 + 16x + -5(3 + 2x) = 43 28 + 16x + (3 * -5 + 2x * -5) = 43 28 + 16x + (-15 + -10x) = 43 Reorder the terms: 28 + -15 + 16x + -10x = 43 Combine like terms: 28 + -15 = 13 13 + 16x + -10x = 43 Combine like terms: 16x + -10x = 6x 13 + 6x = 43 Solving 13 + 6x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6x = 43 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 43 + -13 6x = 43 + -13 Combine like terms: 43 + -13 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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