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Simplifying 8x + 6[8] + -2x = 6[2x + -4] Multiply 6 * 8 8x + 48 + -2x = 6[2x + -4] Reorder the terms: 48 + 8x + -2x = 6[2x + -4] Combine like terms: 8x + -2x = 6x 48 + 6x = 6[2x + -4] Reorder the terms: 48 + 6x = 6[-4 + 2x] 48 + 6x = [-4 * 6 + 2x * 6] 48 + 6x = [-24 + 12x] Solving 48 + 6x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 48 + 6x + -12x = -24 + 12x + -12x Combine like terms: 6x + -12x = -6x 48 + -6x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 48 + -6x = -24 + 0 48 + -6x = -24 Add '-48' to each side of the equation. 48 + -48 + -6x = -24 + -48 Combine like terms: 48 + -48 = 0 0 + -6x = -24 + -48 -6x = -24 + -48 Combine like terms: -24 + -48 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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