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Simplifying 4(x + 2) = 7(x + -9) Reorder the terms: 4(2 + x) = 7(x + -9) (2 * 4 + x * 4) = 7(x + -9) (8 + 4x) = 7(x + -9) Reorder the terms: 8 + 4x = 7(-9 + x) 8 + 4x = (-9 * 7 + x * 7) 8 + 4x = (-63 + 7x) Solving 8 + 4x = -63 + 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. 8 + 4x + -7x = -63 + 7x + -7x Combine like terms: 4x + -7x = -3x 8 + -3x = -63 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -3x = -63 + 0 8 + -3x = -63 Add '-8' to each side of the equation. 8 + -8 + -3x = -63 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -63 + -8 -3x = -63 + -8 Combine like terms: -63 + -8 = -71 -3x = -71 Divide each side by '-3'. x = 23.66666667 Simplifying x = 23.66666667
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