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Simplifying 7x + 8x + 2 = 18x + -27 + 8 Reorder the terms: 2 + 7x + 8x = 18x + -27 + 8 Combine like terms: 7x + 8x = 15x 2 + 15x = 18x + -27 + 8 Reorder the terms: 2 + 15x = -27 + 8 + 18x Combine like terms: -27 + 8 = -19 2 + 15x = -19 + 18x Solving 2 + 15x = -19 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 2 + 15x + -18x = -19 + 18x + -18x Combine like terms: 15x + -18x = -3x 2 + -3x = -19 + 18x + -18x Combine like terms: 18x + -18x = 0 2 + -3x = -19 + 0 2 + -3x = -19 Add '-2' to each side of the equation. 2 + -2 + -3x = -19 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -19 + -2 -3x = -19 + -2 Combine like terms: -19 + -2 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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