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Simplifying 7x + 5 = 8(x + -6) Reorder the terms: 5 + 7x = 8(x + -6) Reorder the terms: 5 + 7x = 8(-6 + x) 5 + 7x = (-6 * 8 + x * 8) 5 + 7x = (-48 + 8x) Solving 5 + 7x = -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. 5 + 7x + -8x = -48 + 8x + -8x Combine like terms: 7x + -8x = -1x 5 + -1x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -1x = -48 + 0 5 + -1x = -48 Add '-5' to each side of the equation. 5 + -5 + -1x = -48 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -48 + -5 -1x = -48 + -5 Combine like terms: -48 + -5 = -53 -1x = -53 Divide each side by '-1'. x = 53 Simplifying x = 53
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