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Simplifying 7(x + -4) + -6(2x + -3) = 6(x + 6) + 4 Reorder the terms: 7(-4 + x) + -6(2x + -3) = 6(x + 6) + 4 (-4 * 7 + x * 7) + -6(2x + -3) = 6(x + 6) + 4 (-28 + 7x) + -6(2x + -3) = 6(x + 6) + 4 Reorder the terms: -28 + 7x + -6(-3 + 2x) = 6(x + 6) + 4 -28 + 7x + (-3 * -6 + 2x * -6) = 6(x + 6) + 4 -28 + 7x + (18 + -12x) = 6(x + 6) + 4 Reorder the terms: -28 + 18 + 7x + -12x = 6(x + 6) + 4 Combine like terms: -28 + 18 = -10 -10 + 7x + -12x = 6(x + 6) + 4 Combine like terms: 7x + -12x = -5x -10 + -5x = 6(x + 6) + 4 Reorder the terms: -10 + -5x = 6(6 + x) + 4 -10 + -5x = (6 * 6 + x * 6) + 4 -10 + -5x = (36 + 6x) + 4 Reorder the terms: -10 + -5x = 36 + 4 + 6x Combine like terms: 36 + 4 = 40 -10 + -5x = 40 + 6x Solving -10 + -5x = 40 + 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. -10 + -5x + -6x = 40 + 6x + -6x Combine like terms: -5x + -6x = -11x -10 + -11x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -11x = 40 + 0 -10 + -11x = 40 Add '10' to each side of the equation. -10 + 10 + -11x = 40 + 10 Combine like terms: -10 + 10 = 0 0 + -11x = 40 + 10 -11x = 40 + 10 Combine like terms: 40 + 10 = 50 -11x = 50 Divide each side by '-11'. x = -4.545454545 Simplifying x = -4.545454545
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