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Simplifying 8(3x + -2) = 4(7x + -1) Reorder the terms: 8(-2 + 3x) = 4(7x + -1) (-2 * 8 + 3x * 8) = 4(7x + -1) (-16 + 24x) = 4(7x + -1) Reorder the terms: -16 + 24x = 4(-1 + 7x) -16 + 24x = (-1 * 4 + 7x * 4) -16 + 24x = (-4 + 28x) Solving -16 + 24x = -4 + 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 = -4 + 28x + -28x Combine like terms: 24x + -28x = -4x -16 + -4x = -4 + 28x + -28x Combine like terms: 28x + -28x = 0 -16 + -4x = -4 + 0 -16 + -4x = -4 Add '16' to each side of the equation. -16 + 16 + -4x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = -4 + 16 -4x = -4 + 16 Combine like terms: -4 + 16 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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