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Simplifying 8(2x + -6) = 3x + 12 Reorder the terms: 8(-6 + 2x) = 3x + 12 (-6 * 8 + 2x * 8) = 3x + 12 (-48 + 16x) = 3x + 12 Reorder the terms: -48 + 16x = 12 + 3x Solving -48 + 16x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -48 + 16x + -3x = 12 + 3x + -3x Combine like terms: 16x + -3x = 13x -48 + 13x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -48 + 13x = 12 + 0 -48 + 13x = 12 Add '48' to each side of the equation. -48 + 48 + 13x = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 13x = 12 + 48 13x = 12 + 48 Combine like terms: 12 + 48 = 60 13x = 60 Divide each side by '13'. x = 4.615384615 Simplifying x = 4.615384615
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