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Simplifying 3(x + -10) + -2 = 18x + -197 Reorder the terms: 3(-10 + x) + -2 = 18x + -197 (-10 * 3 + x * 3) + -2 = 18x + -197 (-30 + 3x) + -2 = 18x + -197 Reorder the terms: -30 + -2 + 3x = 18x + -197 Combine like terms: -30 + -2 = -32 -32 + 3x = 18x + -197 Reorder the terms: -32 + 3x = -197 + 18x Solving -32 + 3x = -197 + 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. -32 + 3x + -18x = -197 + 18x + -18x Combine like terms: 3x + -18x = -15x -32 + -15x = -197 + 18x + -18x Combine like terms: 18x + -18x = 0 -32 + -15x = -197 + 0 -32 + -15x = -197 Add '32' to each side of the equation. -32 + 32 + -15x = -197 + 32 Combine like terms: -32 + 32 = 0 0 + -15x = -197 + 32 -15x = -197 + 32 Combine like terms: -197 + 32 = -165 -15x = -165 Divide each side by '-15'. x = 11 Simplifying x = 11
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