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Simplifying 18x + -7 = 10(x + 8) + 7x + 6 Reorder the terms: -7 + 18x = 10(x + 8) + 7x + 6 Reorder the terms: -7 + 18x = 10(8 + x) + 7x + 6 -7 + 18x = (8 * 10 + x * 10) + 7x + 6 -7 + 18x = (80 + 10x) + 7x + 6 Reorder the terms: -7 + 18x = 80 + 6 + 10x + 7x Combine like terms: 80 + 6 = 86 -7 + 18x = 86 + 10x + 7x Combine like terms: 10x + 7x = 17x -7 + 18x = 86 + 17x Solving -7 + 18x = 86 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -7 + 18x + -17x = 86 + 17x + -17x Combine like terms: 18x + -17x = 1x -7 + 1x = 86 + 17x + -17x Combine like terms: 17x + -17x = 0 -7 + 1x = 86 + 0 -7 + 1x = 86 Add '7' to each side of the equation. -7 + 7 + 1x = 86 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 86 + 7 1x = 86 + 7 Combine like terms: 86 + 7 = 93 1x = 93 Divide each side by '1'. x = 93 Simplifying x = 93
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