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Simplifying 6(x + 7) = 7 + 3(x + -6) * 4 Reorder the terms: 6(7 + x) = 7 + 3(x + -6) * 4 (7 * 6 + x * 6) = 7 + 3(x + -6) * 4 (42 + 6x) = 7 + 3(x + -6) * 4 Reorder the terms: 42 + 6x = 7 + 3(-6 + x) * 4 Reorder the terms for easier multiplication: 42 + 6x = 7 + 3 * 4(-6 + x) Multiply 3 * 4 42 + 6x = 7 + 12(-6 + x) 42 + 6x = 7 + (-6 * 12 + x * 12) 42 + 6x = 7 + (-72 + 12x) Combine like terms: 7 + -72 = -65 42 + 6x = -65 + 12x Solving 42 + 6x = -65 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 42 + 6x + -12x = -65 + 12x + -12x Combine like terms: 6x + -12x = -6x 42 + -6x = -65 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + -6x = -65 + 0 42 + -6x = -65 Add '-42' to each side of the equation. 42 + -42 + -6x = -65 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = -65 + -42 -6x = -65 + -42 Combine like terms: -65 + -42 = -107 -6x = -107 Divide each side by '-6'. x = 17.83333333 Simplifying x = 17.83333333
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