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Simplifying 1(3x + -4) = 6(x + -6) + 1 Reorder the terms: 1(-4 + 3x) = 6(x + -6) + 1 (-4 * 1 + 3x * 1) = 6(x + -6) + 1 (-4 + 3x) = 6(x + -6) + 1 Reorder the terms: -4 + 3x = 6(-6 + x) + 1 -4 + 3x = (-6 * 6 + x * 6) + 1 -4 + 3x = (-36 + 6x) + 1 Reorder the terms: -4 + 3x = -36 + 1 + 6x Combine like terms: -36 + 1 = -35 -4 + 3x = -35 + 6x Solving -4 + 3x = -35 + 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. -4 + 3x + -6x = -35 + 6x + -6x Combine like terms: 3x + -6x = -3x -4 + -3x = -35 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -3x = -35 + 0 -4 + -3x = -35 Add '4' to each side of the equation. -4 + 4 + -3x = -35 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -35 + 4 -3x = -35 + 4 Combine like terms: -35 + 4 = -31 -3x = -31 Divide each side by '-3'. x = 10.33333333 Simplifying x = 10.33333333
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