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Simplifying 6x + 5 = 7(x + -6) Reorder the terms: 5 + 6x = 7(x + -6) Reorder the terms: 5 + 6x = 7(-6 + x) 5 + 6x = (-6 * 7 + x * 7) 5 + 6x = (-42 + 7x) Solving 5 + 6x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 6x + -7x = -42 + 7x + -7x Combine like terms: 6x + -7x = -1x 5 + -1x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -1x = -42 + 0 5 + -1x = -42 Add '-5' to each side of the equation. 5 + -5 + -1x = -42 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -42 + -5 -1x = -42 + -5 Combine like terms: -42 + -5 = -47 -1x = -47 Divide each side by '-1'. x = 47 Simplifying x = 47
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