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Simplifying 6x + -6 = (x + -7) * 7 Reorder the terms: -6 + 6x = (x + -7) * 7 Reorder the terms: -6 + 6x = (-7 + x) * 7 Reorder the terms for easier multiplication: -6 + 6x = 7(-7 + x) -6 + 6x = (-7 * 7 + x * 7) -6 + 6x = (-49 + 7x) Solving -6 + 6x = -49 + 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 = -49 + 7x + -7x Combine like terms: 6x + -7x = -1x -6 + -1x = -49 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -1x = -49 + 0 -6 + -1x = -49 Add '6' to each side of the equation. -6 + 6 + -1x = -49 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -49 + 6 -1x = -49 + 6 Combine like terms: -49 + 6 = -43 -1x = -43 Divide each side by '-1'. x = 43 Simplifying x = 43
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