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Simplifying 4(7x + -1) = 3(2x + 1) + -3(x + 6) Reorder the terms: 4(-1 + 7x) = 3(2x + 1) + -3(x + 6) (-1 * 4 + 7x * 4) = 3(2x + 1) + -3(x + 6) (-4 + 28x) = 3(2x + 1) + -3(x + 6) Reorder the terms: -4 + 28x = 3(1 + 2x) + -3(x + 6) -4 + 28x = (1 * 3 + 2x * 3) + -3(x + 6) -4 + 28x = (3 + 6x) + -3(x + 6) Reorder the terms: -4 + 28x = 3 + 6x + -3(6 + x) -4 + 28x = 3 + 6x + (6 * -3 + x * -3) -4 + 28x = 3 + 6x + (-18 + -3x) Reorder the terms: -4 + 28x = 3 + -18 + 6x + -3x Combine like terms: 3 + -18 = -15 -4 + 28x = -15 + 6x + -3x Combine like terms: 6x + -3x = 3x -4 + 28x = -15 + 3x Solving -4 + 28x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 28x + -3x = -15 + 3x + -3x Combine like terms: 28x + -3x = 25x -4 + 25x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 25x = -15 + 0 -4 + 25x = -15 Add '4' to each side of the equation. -4 + 4 + 25x = -15 + 4 Combine like terms: -4 + 4 = 0 0 + 25x = -15 + 4 25x = -15 + 4 Combine like terms: -15 + 4 = -11 25x = -11 Divide each side by '25'. x = -0.44 Simplifying x = -0.44
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