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Simplifying 8(2x + -6) = 4(x + -2) Reorder the terms: 8(-6 + 2x) = 4(x + -2) (-6 * 8 + 2x * 8) = 4(x + -2) (-48 + 16x) = 4(x + -2) Reorder the terms: -48 + 16x = 4(-2 + x) -48 + 16x = (-2 * 4 + x * 4) -48 + 16x = (-8 + 4x) Solving -48 + 16x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -48 + 16x + -4x = -8 + 4x + -4x Combine like terms: 16x + -4x = 12x -48 + 12x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -48 + 12x = -8 + 0 -48 + 12x = -8 Add '48' to each side of the equation. -48 + 48 + 12x = -8 + 48 Combine like terms: -48 + 48 = 0 0 + 12x = -8 + 48 12x = -8 + 48 Combine like terms: -8 + 48 = 40 12x = 40 Divide each side by '12'. x = 3.333333333 Simplifying x = 3.333333333
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