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Simplifying 4(2x + -2) + -3(x + 7) = -4 Reorder the terms: 4(-2 + 2x) + -3(x + 7) = -4 (-2 * 4 + 2x * 4) + -3(x + 7) = -4 (-8 + 8x) + -3(x + 7) = -4 Reorder the terms: -8 + 8x + -3(7 + x) = -4 -8 + 8x + (7 * -3 + x * -3) = -4 -8 + 8x + (-21 + -3x) = -4 Reorder the terms: -8 + -21 + 8x + -3x = -4 Combine like terms: -8 + -21 = -29 -29 + 8x + -3x = -4 Combine like terms: 8x + -3x = 5x -29 + 5x = -4 Solving -29 + 5x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 5x = -4 + 29 Combine like terms: -29 + 29 = 0 0 + 5x = -4 + 29 5x = -4 + 29 Combine like terms: -4 + 29 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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