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Simplifying 12 + 3x = 8 + 8(-6 + 2x) 12 + 3x = 8 + (-6 * 8 + 2x * 8) 12 + 3x = 8 + (-48 + 16x) Combine like terms: 8 + -48 = -40 12 + 3x = -40 + 16x Solving 12 + 3x = -40 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 12 + 3x + -16x = -40 + 16x + -16x Combine like terms: 3x + -16x = -13x 12 + -13x = -40 + 16x + -16x Combine like terms: 16x + -16x = 0 12 + -13x = -40 + 0 12 + -13x = -40 Add '-12' to each side of the equation. 12 + -12 + -13x = -40 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = -40 + -12 -13x = -40 + -12 Combine like terms: -40 + -12 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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