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Simplifying 6(x + 1) + 4 = -6(x + -7) + -9 Reorder the terms: 6(1 + x) + 4 = -6(x + -7) + -9 (1 * 6 + x * 6) + 4 = -6(x + -7) + -9 (6 + 6x) + 4 = -6(x + -7) + -9 Reorder the terms: 6 + 4 + 6x = -6(x + -7) + -9 Combine like terms: 6 + 4 = 10 10 + 6x = -6(x + -7) + -9 Reorder the terms: 10 + 6x = -6(-7 + x) + -9 10 + 6x = (-7 * -6 + x * -6) + -9 10 + 6x = (42 + -6x) + -9 Reorder the terms: 10 + 6x = 42 + -9 + -6x Combine like terms: 42 + -9 = 33 10 + 6x = 33 + -6x Solving 10 + 6x = 33 + -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 + 6x + 6x = 33 + -6x + 6x Combine like terms: 6x + 6x = 12x 10 + 12x = 33 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 12x = 33 + 0 10 + 12x = 33 Add '-10' to each side of the equation. 10 + -10 + 12x = 33 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 33 + -10 12x = 33 + -10 Combine like terms: 33 + -10 = 23 12x = 23 Divide each side by '12'. x = 1.916666667 Simplifying x = 1.916666667
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