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Simplifying 4 + 3(x + -2) = 1 + -6(x + -4) Reorder the terms: 4 + 3(-2 + x) = 1 + -6(x + -4) 4 + (-2 * 3 + x * 3) = 1 + -6(x + -4) 4 + (-6 + 3x) = 1 + -6(x + -4) Combine like terms: 4 + -6 = -2 -2 + 3x = 1 + -6(x + -4) Reorder the terms: -2 + 3x = 1 + -6(-4 + x) -2 + 3x = 1 + (-4 * -6 + x * -6) -2 + 3x = 1 + (24 + -6x) Combine like terms: 1 + 24 = 25 -2 + 3x = 25 + -6x Solving -2 + 3x = 25 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + 3x + 6x = 25 + -6x + 6x Combine like terms: 3x + 6x = 9x -2 + 9x = 25 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 9x = 25 + 0 -2 + 9x = 25 Add '2' to each side of the equation. -2 + 2 + 9x = 25 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 25 + 2 9x = 25 + 2 Combine like terms: 25 + 2 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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