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Simplifying 4(2x + -1) = -7(x + 3) Reorder the terms: 4(-1 + 2x) = -7(x + 3) (-1 * 4 + 2x * 4) = -7(x + 3) (-4 + 8x) = -7(x + 3) Reorder the terms: -4 + 8x = -7(3 + x) -4 + 8x = (3 * -7 + x * -7) -4 + 8x = (-21 + -7x) Solving -4 + 8x = -21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -4 + 8x + 7x = -21 + -7x + 7x Combine like terms: 8x + 7x = 15x -4 + 15x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + 15x = -21 + 0 -4 + 15x = -21 Add '4' to each side of the equation. -4 + 4 + 15x = -21 + 4 Combine like terms: -4 + 4 = 0 0 + 15x = -21 + 4 15x = -21 + 4 Combine like terms: -21 + 4 = -17 15x = -17 Divide each side by '15'. x = -1.133333333 Simplifying x = -1.133333333
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