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Simplifying -3 + 6(x + 1) = -5 + -4(x + -7) Reorder the terms: -3 + 6(1 + x) = -5 + -4(x + -7) -3 + (1 * 6 + x * 6) = -5 + -4(x + -7) -3 + (6 + 6x) = -5 + -4(x + -7) Combine like terms: -3 + 6 = 3 3 + 6x = -5 + -4(x + -7) Reorder the terms: 3 + 6x = -5 + -4(-7 + x) 3 + 6x = -5 + (-7 * -4 + x * -4) 3 + 6x = -5 + (28 + -4x) Combine like terms: -5 + 28 = 23 3 + 6x = 23 + -4x Solving 3 + 6x = 23 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + 6x + 4x = 23 + -4x + 4x Combine like terms: 6x + 4x = 10x 3 + 10x = 23 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 10x = 23 + 0 3 + 10x = 23 Add '-3' to each side of the equation. 3 + -3 + 10x = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 23 + -3 10x = 23 + -3 Combine like terms: 23 + -3 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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