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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 = 27 -4 + 28x = 27 + 6x + -4x Combine like terms: 6x + -4x = 2x -4 + 28x = 27 + 2x Solving -4 + 28x = 27 + 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 = 27 + 2x + -2x Combine like terms: 28x + -2x = 26x -4 + 26x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 26x = 27 + 0 -4 + 26x = 27 Add '4' to each side of the equation. -4 + 4 + 26x = 27 + 4 Combine like terms: -4 + 4 = 0 0 + 26x = 27 + 4 26x = 27 + 4 Combine like terms: 27 + 4 = 31 26x = 31 Divide each side by '26'. x = 1.192307692 Simplifying x = 1.192307692
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