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Simplifying x + 6 + -8x + 4 = 8(x + -8) + -2(4x + -2) Reorder the terms: 6 + 4 + x + -8x = 8(x + -8) + -2(4x + -2) Combine like terms: 6 + 4 = 10 10 + x + -8x = 8(x + -8) + -2(4x + -2) Combine like terms: x + -8x = -7x 10 + -7x = 8(x + -8) + -2(4x + -2) Reorder the terms: 10 + -7x = 8(-8 + x) + -2(4x + -2) 10 + -7x = (-8 * 8 + x * 8) + -2(4x + -2) 10 + -7x = (-64 + 8x) + -2(4x + -2) Reorder the terms: 10 + -7x = -64 + 8x + -2(-2 + 4x) 10 + -7x = -64 + 8x + (-2 * -2 + 4x * -2) 10 + -7x = -64 + 8x + (4 + -8x) Reorder the terms: 10 + -7x = -64 + 4 + 8x + -8x Combine like terms: -64 + 4 = -60 10 + -7x = -60 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -7x = -60 + 0 10 + -7x = -60 Solving 10 + -7x = -60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7x = -60 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = -60 + -10 -7x = -60 + -10 Combine like terms: -60 + -10 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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