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Simplifying -6x + -6(5x + -7) = -6(4x + -3) Reorder the terms: -6x + -6(-7 + 5x) = -6(4x + -3) -6x + (-7 * -6 + 5x * -6) = -6(4x + -3) -6x + (42 + -30x) = -6(4x + -3) Reorder the terms: 42 + -6x + -30x = -6(4x + -3) Combine like terms: -6x + -30x = -36x 42 + -36x = -6(4x + -3) Reorder the terms: 42 + -36x = -6(-3 + 4x) 42 + -36x = (-3 * -6 + 4x * -6) 42 + -36x = (18 + -24x) Solving 42 + -36x = 18 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 42 + -36x + 24x = 18 + -24x + 24x Combine like terms: -36x + 24x = -12x 42 + -12x = 18 + -24x + 24x Combine like terms: -24x + 24x = 0 42 + -12x = 18 + 0 42 + -12x = 18 Add '-42' to each side of the equation. 42 + -42 + -12x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + -12x = 18 + -42 -12x = 18 + -42 Combine like terms: 18 + -42 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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