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Simplifying 42x + -7(2x + -1) = 4x + 8(x + 2) Reorder the terms: 42x + -7(-1 + 2x) = 4x + 8(x + 2) 42x + (-1 * -7 + 2x * -7) = 4x + 8(x + 2) 42x + (7 + -14x) = 4x + 8(x + 2) Reorder the terms: 7 + 42x + -14x = 4x + 8(x + 2) Combine like terms: 42x + -14x = 28x 7 + 28x = 4x + 8(x + 2) Reorder the terms: 7 + 28x = 4x + 8(2 + x) 7 + 28x = 4x + (2 * 8 + x * 8) 7 + 28x = 4x + (16 + 8x) Reorder the terms: 7 + 28x = 16 + 4x + 8x Combine like terms: 4x + 8x = 12x 7 + 28x = 16 + 12x Solving 7 + 28x = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 28x + -12x = 16 + 12x + -12x Combine like terms: 28x + -12x = 16x 7 + 16x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + 16x = 16 + 0 7 + 16x = 16 Add '-7' to each side of the equation. 7 + -7 + 16x = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 16x = 16 + -7 16x = 16 + -7 Combine like terms: 16 + -7 = 9 16x = 9 Divide each side by '16'. x = 0.5625 Simplifying x = 0.5625
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