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