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Simplifying 2x + -4(4 + -9x) = 8(6x + 2) 2x + (4 * -4 + -9x * -4) = 8(6x + 2) 2x + (-16 + 36x) = 8(6x + 2) Reorder the terms: -16 + 2x + 36x = 8(6x + 2) Combine like terms: 2x + 36x = 38x -16 + 38x = 8(6x + 2) Reorder the terms: -16 + 38x = 8(2 + 6x) -16 + 38x = (2 * 8 + 6x * 8) -16 + 38x = (16 + 48x) Solving -16 + 38x = 16 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -16 + 38x + -48x = 16 + 48x + -48x Combine like terms: 38x + -48x = -10x -16 + -10x = 16 + 48x + -48x Combine like terms: 48x + -48x = 0 -16 + -10x = 16 + 0 -16 + -10x = 16 Add '16' to each side of the equation. -16 + 16 + -10x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -10x = 16 + 16 -10x = 16 + 16 Combine like terms: 16 + 16 = 32 -10x = 32 Divide each side by '-10'. x = -3.2 Simplifying x = -3.2
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