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Simplifying 4(7x + -1) = 4(2x + 1) + -3(x + 6) Reorder the terms: 4(-1 + 7x) = 4(2x + 1) + -3(x + 6) (-1 * 4 + 7x * 4) = 4(2x + 1) + -3(x + 6) (-4 + 28x) = 4(2x + 1) + -3(x + 6) Reorder the terms: -4 + 28x = 4(1 + 2x) + -3(x + 6) -4 + 28x = (1 * 4 + 2x * 4) + -3(x + 6) -4 + 28x = (4 + 8x) + -3(x + 6) Reorder the terms: -4 + 28x = 4 + 8x + -3(6 + x) -4 + 28x = 4 + 8x + (6 * -3 + x * -3) -4 + 28x = 4 + 8x + (-18 + -3x) Reorder the terms: -4 + 28x = 4 + -18 + 8x + -3x Combine like terms: 4 + -18 = -14 -4 + 28x = -14 + 8x + -3x Combine like terms: 8x + -3x = 5x -4 + 28x = -14 + 5x Solving -4 + 28x = -14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 28x + -5x = -14 + 5x + -5x Combine like terms: 28x + -5x = 23x -4 + 23x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 23x = -14 + 0 -4 + 23x = -14 Add '4' to each side of the equation. -4 + 4 + 23x = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 23x = -14 + 4 23x = -14 + 4 Combine like terms: -14 + 4 = -10 23x = -10 Divide each side by '23'. x = -0.4347826087 Simplifying x = -0.4347826087
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