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Simplifying 2 + -7(4x + 6) = 8(-4x + 1) + -2 Reorder the terms: 2 + -7(6 + 4x) = 8(-4x + 1) + -2 2 + (6 * -7 + 4x * -7) = 8(-4x + 1) + -2 2 + (-42 + -28x) = 8(-4x + 1) + -2 Combine like terms: 2 + -42 = -40 -40 + -28x = 8(-4x + 1) + -2 Reorder the terms: -40 + -28x = 8(1 + -4x) + -2 -40 + -28x = (1 * 8 + -4x * 8) + -2 -40 + -28x = (8 + -32x) + -2 Reorder the terms: -40 + -28x = 8 + -2 + -32x Combine like terms: 8 + -2 = 6 -40 + -28x = 6 + -32x Solving -40 + -28x = 6 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -40 + -28x + 32x = 6 + -32x + 32x Combine like terms: -28x + 32x = 4x -40 + 4x = 6 + -32x + 32x Combine like terms: -32x + 32x = 0 -40 + 4x = 6 + 0 -40 + 4x = 6 Add '40' to each side of the equation. -40 + 40 + 4x = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = 6 + 40 4x = 6 + 40 Combine like terms: 6 + 40 = 46 4x = 46 Divide each side by '4'. x = 11.5 Simplifying x = 11.5
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