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Simplifying 4(7x + -1) = 3(2x + 1) + -4(x + 6) Reorder the terms: 4(-1 + 7x) = 3(2x + 1) + -4(x + 6) (-1 * 4 + 7x * 4) = 3(2x + 1) + -4(x + 6) (-4 + 28x) = 3(2x + 1) + -4(x + 6) Reorder the terms: -4 + 28x = 3(1 + 2x) + -4(x + 6) -4 + 28x = (1 * 3 + 2x * 3) + -4(x + 6) -4 + 28x = (3 + 6x) + -4(x + 6) Reorder the terms: -4 + 28x = 3 + 6x + -4(6 + x) -4 + 28x = 3 + 6x + (6 * -4 + x * -4) -4 + 28x = 3 + 6x + (-24 + -4x) Reorder the terms: -4 + 28x = 3 + -24 + 6x + -4x Combine like terms: 3 + -24 = -21 -4 + 28x = -21 + 6x + -4x Combine like terms: 6x + -4x = 2x -4 + 28x = -21 + 2x Solving -4 + 28x = -21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 28x + -2x = -21 + 2x + -2x Combine like terms: 28x + -2x = 26x -4 + 26x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 26x = -21 + 0 -4 + 26x = -21 Add '4' to each side of the equation. -4 + 4 + 26x = -21 + 4 Combine like terms: -4 + 4 = 0 0 + 26x = -21 + 4 26x = -21 + 4 Combine like terms: -21 + 4 = -17 26x = -17 Divide each side by '26'. x = -0.6538461538 Simplifying x = -0.6538461538
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