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Simplifying -3x + 6 = 7(x + 8) Reorder the terms: 6 + -3x = 7(x + 8) Reorder the terms: 6 + -3x = 7(8 + x) 6 + -3x = (8 * 7 + x * 7) 6 + -3x = (56 + 7x) Solving 6 + -3x = 56 + 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. 6 + -3x + -7x = 56 + 7x + -7x Combine like terms: -3x + -7x = -10x 6 + -10x = 56 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -10x = 56 + 0 6 + -10x = 56 Add '-6' to each side of the equation. 6 + -6 + -10x = 56 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 56 + -6 -10x = 56 + -6 Combine like terms: 56 + -6 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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