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Simplifying 8(x + 7) = 5(2x + 14) Reorder the terms: 8(7 + x) = 5(2x + 14) (7 * 8 + x * 8) = 5(2x + 14) (56 + 8x) = 5(2x + 14) Reorder the terms: 56 + 8x = 5(14 + 2x) 56 + 8x = (14 * 5 + 2x * 5) 56 + 8x = (70 + 10x) Solving 56 + 8x = 70 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 56 + 8x + -10x = 70 + 10x + -10x Combine like terms: 8x + -10x = -2x 56 + -2x = 70 + 10x + -10x Combine like terms: 10x + -10x = 0 56 + -2x = 70 + 0 56 + -2x = 70 Add '-56' to each side of the equation. 56 + -56 + -2x = 70 + -56 Combine like terms: 56 + -56 = 0 0 + -2x = 70 + -56 -2x = 70 + -56 Combine like terms: 70 + -56 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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