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Simplifying -4x + -53(x + 2) = -7(8x + 9) Reorder the terms: -4x + -53(2 + x) = -7(8x + 9) -4x + (2 * -53 + x * -53) = -7(8x + 9) -4x + (-106 + -53x) = -7(8x + 9) Reorder the terms: -106 + -4x + -53x = -7(8x + 9) Combine like terms: -4x + -53x = -57x -106 + -57x = -7(8x + 9) Reorder the terms: -106 + -57x = -7(9 + 8x) -106 + -57x = (9 * -7 + 8x * -7) -106 + -57x = (-63 + -56x) Solving -106 + -57x = -63 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. -106 + -57x + 56x = -63 + -56x + 56x Combine like terms: -57x + 56x = -1x -106 + -1x = -63 + -56x + 56x Combine like terms: -56x + 56x = 0 -106 + -1x = -63 + 0 -106 + -1x = -63 Add '106' to each side of the equation. -106 + 106 + -1x = -63 + 106 Combine like terms: -106 + 106 = 0 0 + -1x = -63 + 106 -1x = -63 + 106 Combine like terms: -63 + 106 = 43 -1x = 43 Divide each side by '-1'. x = -43 Simplifying x = -43
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