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Simplifying 4x + 7(-1x + -9) = -84 Reorder the terms: 4x + 7(-9 + -1x) = -84 4x + (-9 * 7 + -1x * 7) = -84 4x + (-63 + -7x) = -84 Reorder the terms: -63 + 4x + -7x = -84 Combine like terms: 4x + -7x = -3x -63 + -3x = -84 Solving -63 + -3x = -84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -3x = -84 + 63 Combine like terms: -63 + 63 = 0 0 + -3x = -84 + 63 -3x = -84 + 63 Combine like terms: -84 + 63 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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