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Simplifying 17 + 2(-2 + -6x) = 4 + 3x(2 + -5) 17 + (-2 * 2 + -6x * 2) = 4 + 3x(2 + -5) 17 + (-4 + -12x) = 4 + 3x(2 + -5) Combine like terms: 17 + -4 = 13 13 + -12x = 4 + 3x(2 + -5) Combine like terms: 2 + -5 = -3 13 + -12x = 4 + 3x(-3) Reorder the terms for easier multiplication: 13 + -12x = 4 + 3 * -3x Multiply 3 * -3 13 + -12x = 4 + -9x Solving 13 + -12x = 4 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 13 + -12x + 9x = 4 + -9x + 9x Combine like terms: -12x + 9x = -3x 13 + -3x = 4 + -9x + 9x Combine like terms: -9x + 9x = 0 13 + -3x = 4 + 0 13 + -3x = 4 Add '-13' to each side of the equation. 13 + -13 + -3x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 4 + -13 -3x = 4 + -13 Combine like terms: 4 + -13 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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