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Simplifying 7(2x + -9) = 2(3x + -8) Reorder the terms: 7(-9 + 2x) = 2(3x + -8) (-9 * 7 + 2x * 7) = 2(3x + -8) (-63 + 14x) = 2(3x + -8) Reorder the terms: -63 + 14x = 2(-8 + 3x) -63 + 14x = (-8 * 2 + 3x * 2) -63 + 14x = (-16 + 6x) Solving -63 + 14x = -16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -63 + 14x + -6x = -16 + 6x + -6x Combine like terms: 14x + -6x = 8x -63 + 8x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -63 + 8x = -16 + 0 -63 + 8x = -16 Add '63' to each side of the equation. -63 + 63 + 8x = -16 + 63 Combine like terms: -63 + 63 = 0 0 + 8x = -16 + 63 8x = -16 + 63 Combine like terms: -16 + 63 = 47 8x = 47 Divide each side by '8'. x = 5.875 Simplifying x = 5.875
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