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Simplifying 6x + 1 + -7 = 7(x + 6) Reorder the terms: 1 + -7 + 6x = 7(x + 6) Combine like terms: 1 + -7 = -6 -6 + 6x = 7(x + 6) Reorder the terms: -6 + 6x = 7(6 + x) -6 + 6x = (6 * 7 + x * 7) -6 + 6x = (42 + 7x) Solving -6 + 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. -6 + 6x + -7x = 42 + 7x + -7x Combine like terms: 6x + -7x = -1x -6 + -1x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -1x = 42 + 0 -6 + -1x = 42 Add '6' to each side of the equation. -6 + 6 + -1x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 42 + 6 -1x = 42 + 6 Combine like terms: 42 + 6 = 48 -1x = 48 Divide each side by '-1'. x = -48 Simplifying x = -48
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