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Simplifying 6(x + 6) + 3 = -4(x + -2) + -1 Reorder the terms: 6(6 + x) + 3 = -4(x + -2) + -1 (6 * 6 + x * 6) + 3 = -4(x + -2) + -1 (36 + 6x) + 3 = -4(x + -2) + -1 Reorder the terms: 36 + 3 + 6x = -4(x + -2) + -1 Combine like terms: 36 + 3 = 39 39 + 6x = -4(x + -2) + -1 Reorder the terms: 39 + 6x = -4(-2 + x) + -1 39 + 6x = (-2 * -4 + x * -4) + -1 39 + 6x = (8 + -4x) + -1 Reorder the terms: 39 + 6x = 8 + -1 + -4x Combine like terms: 8 + -1 = 7 39 + 6x = 7 + -4x Solving 39 + 6x = 7 + -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. 39 + 6x + 4x = 7 + -4x + 4x Combine like terms: 6x + 4x = 10x 39 + 10x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 39 + 10x = 7 + 0 39 + 10x = 7 Add '-39' to each side of the equation. 39 + -39 + 10x = 7 + -39 Combine like terms: 39 + -39 = 0 0 + 10x = 7 + -39 10x = 7 + -39 Combine like terms: 7 + -39 = -32 10x = -32 Divide each side by '10'. x = -3.2 Simplifying x = -3.2
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