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Simplifying -7x + 39 = 4x + 6(x + 8) Reorder the terms: 39 + -7x = 4x + 6(x + 8) Reorder the terms: 39 + -7x = 4x + 6(8 + x) 39 + -7x = 4x + (8 * 6 + x * 6) 39 + -7x = 4x + (48 + 6x) Reorder the terms: 39 + -7x = 48 + 4x + 6x Combine like terms: 4x + 6x = 10x 39 + -7x = 48 + 10x Solving 39 + -7x = 48 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 39 + -7x + -10x = 48 + 10x + -10x Combine like terms: -7x + -10x = -17x 39 + -17x = 48 + 10x + -10x Combine like terms: 10x + -10x = 0 39 + -17x = 48 + 0 39 + -17x = 48 Add '-39' to each side of the equation. 39 + -39 + -17x = 48 + -39 Combine like terms: 39 + -39 = 0 0 + -17x = 48 + -39 -17x = 48 + -39 Combine like terms: 48 + -39 = 9 -17x = 9 Divide each side by '-17'. x = -0.5294117647 Simplifying x = -0.5294117647
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