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Simplifying 8x + -7 = 14(2x + 7) + -5 Reorder the terms: -7 + 8x = 14(2x + 7) + -5 Reorder the terms: -7 + 8x = 14(7 + 2x) + -5 -7 + 8x = (7 * 14 + 2x * 14) + -5 -7 + 8x = (98 + 28x) + -5 Reorder the terms: -7 + 8x = 98 + -5 + 28x Combine like terms: 98 + -5 = 93 -7 + 8x = 93 + 28x Solving -7 + 8x = 93 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -7 + 8x + -28x = 93 + 28x + -28x Combine like terms: 8x + -28x = -20x -7 + -20x = 93 + 28x + -28x Combine like terms: 28x + -28x = 0 -7 + -20x = 93 + 0 -7 + -20x = 93 Add '7' to each side of the equation. -7 + 7 + -20x = 93 + 7 Combine like terms: -7 + 7 = 0 0 + -20x = 93 + 7 -20x = 93 + 7 Combine like terms: 93 + 7 = 100 -20x = 100 Divide each side by '-20'. x = -5 Simplifying x = -5
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