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Simplifying 7(x + -6) + -4(3x + 5) = 6x + 4 Reorder the terms: 7(-6 + x) + -4(3x + 5) = 6x + 4 (-6 * 7 + x * 7) + -4(3x + 5) = 6x + 4 (-42 + 7x) + -4(3x + 5) = 6x + 4 Reorder the terms: -42 + 7x + -4(5 + 3x) = 6x + 4 -42 + 7x + (5 * -4 + 3x * -4) = 6x + 4 -42 + 7x + (-20 + -12x) = 6x + 4 Reorder the terms: -42 + -20 + 7x + -12x = 6x + 4 Combine like terms: -42 + -20 = -62 -62 + 7x + -12x = 6x + 4 Combine like terms: 7x + -12x = -5x -62 + -5x = 6x + 4 Reorder the terms: -62 + -5x = 4 + 6x Solving -62 + -5x = 4 + 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. -62 + -5x + -6x = 4 + 6x + -6x Combine like terms: -5x + -6x = -11x -62 + -11x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -62 + -11x = 4 + 0 -62 + -11x = 4 Add '62' to each side of the equation. -62 + 62 + -11x = 4 + 62 Combine like terms: -62 + 62 = 0 0 + -11x = 4 + 62 -11x = 4 + 62 Combine like terms: 4 + 62 = 66 -11x = 66 Divide each side by '-11'. x = -6 Simplifying x = -6
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