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Simplifying 8(3x + -2) = 3 + -4(7x + -1) Reorder the terms: 8(-2 + 3x) = 3 + -4(7x + -1) (-2 * 8 + 3x * 8) = 3 + -4(7x + -1) (-16 + 24x) = 3 + -4(7x + -1) Reorder the terms: -16 + 24x = 3 + -4(-1 + 7x) -16 + 24x = 3 + (-1 * -4 + 7x * -4) -16 + 24x = 3 + (4 + -28x) Combine like terms: 3 + 4 = 7 -16 + 24x = 7 + -28x Solving -16 + 24x = 7 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -16 + 24x + 28x = 7 + -28x + 28x Combine like terms: 24x + 28x = 52x -16 + 52x = 7 + -28x + 28x Combine like terms: -28x + 28x = 0 -16 + 52x = 7 + 0 -16 + 52x = 7 Add '16' to each side of the equation. -16 + 16 + 52x = 7 + 16 Combine like terms: -16 + 16 = 0 0 + 52x = 7 + 16 52x = 7 + 16 Combine like terms: 7 + 16 = 23 52x = 23 Divide each side by '52'. x = 0.4423076923 Simplifying x = 0.4423076923
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