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Simplifying 8x + 2 = 4(6x + -9) Reorder the terms: 2 + 8x = 4(6x + -9) Reorder the terms: 2 + 8x = 4(-9 + 6x) 2 + 8x = (-9 * 4 + 6x * 4) 2 + 8x = (-36 + 24x) Solving 2 + 8x = -36 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 2 + 8x + -24x = -36 + 24x + -24x Combine like terms: 8x + -24x = -16x 2 + -16x = -36 + 24x + -24x Combine like terms: 24x + -24x = 0 2 + -16x = -36 + 0 2 + -16x = -36 Add '-2' to each side of the equation. 2 + -2 + -16x = -36 + -2 Combine like terms: 2 + -2 = 0 0 + -16x = -36 + -2 -16x = -36 + -2 Combine like terms: -36 + -2 = -38 -16x = -38 Divide each side by '-16'. x = 2.375 Simplifying x = 2.375
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