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Simplifying 4 + 8x + 10x + 6 = 7 + 7x + -12 Reorder the terms: 4 + 6 + 8x + 10x = 7 + 7x + -12 Combine like terms: 4 + 6 = 10 10 + 8x + 10x = 7 + 7x + -12 Combine like terms: 8x + 10x = 18x 10 + 18x = 7 + 7x + -12 Reorder the terms: 10 + 18x = 7 + -12 + 7x Combine like terms: 7 + -12 = -5 10 + 18x = -5 + 7x Solving 10 + 18x = -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. 10 + 18x + -7x = -5 + 7x + -7x Combine like terms: 18x + -7x = 11x 10 + 11x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 11x = -5 + 0 10 + 11x = -5 Add '-10' to each side of the equation. 10 + -10 + 11x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = -5 + -10 11x = -5 + -10 Combine like terms: -5 + -10 = -15 11x = -15 Divide each side by '11'. x = -1.363636364 Simplifying x = -1.363636364
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