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Simplifying 1 + x = 8(x + -6) Reorder the terms: 1 + x = 8(-6 + x) 1 + x = (-6 * 8 + x * 8) 1 + x = (-48 + 8x) Solving 1 + x = -48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + x + -8x = -48 + 8x + -8x Combine like terms: x + -8x = -7x 1 + -7x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -7x = -48 + 0 1 + -7x = -48 Add '-1' to each side of the equation. 1 + -1 + -7x = -48 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = -48 + -1 -7x = -48 + -1 Combine like terms: -48 + -1 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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