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Simplifying 8(2x + 7) + -5(3x + 14) = 0 Reorder the terms: 8(7 + 2x) + -5(3x + 14) = 0 (7 * 8 + 2x * 8) + -5(3x + 14) = 0 (56 + 16x) + -5(3x + 14) = 0 Reorder the terms: 56 + 16x + -5(14 + 3x) = 0 56 + 16x + (14 * -5 + 3x * -5) = 0 56 + 16x + (-70 + -15x) = 0 Reorder the terms: 56 + -70 + 16x + -15x = 0 Combine like terms: 56 + -70 = -14 -14 + 16x + -15x = 0 Combine like terms: 16x + -15x = 1x -14 + 1x = 0 Solving -14 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 0 + 14 1x = 0 + 14 Combine like terms: 0 + 14 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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