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Simplifying -7x + 7 = 8(6x + 6) + 6(2x + -8) Reorder the terms: 7 + -7x = 8(6x + 6) + 6(2x + -8) Reorder the terms: 7 + -7x = 8(6 + 6x) + 6(2x + -8) 7 + -7x = (6 * 8 + 6x * 8) + 6(2x + -8) 7 + -7x = (48 + 48x) + 6(2x + -8) Reorder the terms: 7 + -7x = 48 + 48x + 6(-8 + 2x) 7 + -7x = 48 + 48x + (-8 * 6 + 2x * 6) 7 + -7x = 48 + 48x + (-48 + 12x) Reorder the terms: 7 + -7x = 48 + -48 + 48x + 12x Combine like terms: 48 + -48 = 0 7 + -7x = 0 + 48x + 12x 7 + -7x = 48x + 12x Combine like terms: 48x + 12x = 60x 7 + -7x = 60x Solving 7 + -7x = 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 7 + -7x + -60x = 60x + -60x Combine like terms: -7x + -60x = -67x 7 + -67x = 60x + -60x Combine like terms: 60x + -60x = 0 7 + -67x = 0 Add '-7' to each side of the equation. 7 + -7 + -67x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -67x = 0 + -7 -67x = 0 + -7 Combine like terms: 0 + -7 = -7 -67x = -7 Divide each side by '-67'. x = 0.1044776119 Simplifying x = 0.1044776119
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