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Simplifying 6x + -1 = 7(x + 9) Reorder the terms: -1 + 6x = 7(x + 9) Reorder the terms: -1 + 6x = 7(9 + x) -1 + 6x = (9 * 7 + x * 7) -1 + 6x = (63 + 7x) Solving -1 + 6x = 63 + 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. -1 + 6x + -7x = 63 + 7x + -7x Combine like terms: 6x + -7x = -1x -1 + -1x = 63 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -1x = 63 + 0 -1 + -1x = 63 Add '1' to each side of the equation. -1 + 1 + -1x = 63 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 63 + 1 -1x = 63 + 1 Combine like terms: 63 + 1 = 64 -1x = 64 Divide each side by '-1'. x = -64 Simplifying x = -64
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