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Simplifying 2(x + -2) + -6 = 17x + -55 Reorder the terms: 2(-2 + x) + -6 = 17x + -55 (-2 * 2 + x * 2) + -6 = 17x + -55 (-4 + 2x) + -6 = 17x + -55 Reorder the terms: -4 + -6 + 2x = 17x + -55 Combine like terms: -4 + -6 = -10 -10 + 2x = 17x + -55 Reorder the terms: -10 + 2x = -55 + 17x Solving -10 + 2x = -55 + 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. -10 + 2x + -17x = -55 + 17x + -17x Combine like terms: 2x + -17x = -15x -10 + -15x = -55 + 17x + -17x Combine like terms: 17x + -17x = 0 -10 + -15x = -55 + 0 -10 + -15x = -55 Add '10' to each side of the equation. -10 + 10 + -15x = -55 + 10 Combine like terms: -10 + 10 = 0 0 + -15x = -55 + 10 -15x = -55 + 10 Combine like terms: -55 + 10 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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