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Simplifying -4(4x + 2) + -2 = -5(x + 1) + 2x Reorder the terms: -4(2 + 4x) + -2 = -5(x + 1) + 2x (2 * -4 + 4x * -4) + -2 = -5(x + 1) + 2x (-8 + -16x) + -2 = -5(x + 1) + 2x Reorder the terms: -8 + -2 + -16x = -5(x + 1) + 2x Combine like terms: -8 + -2 = -10 -10 + -16x = -5(x + 1) + 2x Reorder the terms: -10 + -16x = -5(1 + x) + 2x -10 + -16x = (1 * -5 + x * -5) + 2x -10 + -16x = (-5 + -5x) + 2x Combine like terms: -5x + 2x = -3x -10 + -16x = -5 + -3x Solving -10 + -16x = -5 + -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. -10 + -16x + 3x = -5 + -3x + 3x Combine like terms: -16x + 3x = -13x -10 + -13x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + -13x = -5 + 0 -10 + -13x = -5 Add '10' to each side of the equation. -10 + 10 + -13x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + -13x = -5 + 10 -13x = -5 + 10 Combine like terms: -5 + 10 = 5 -13x = 5 Divide each side by '-13'. x = -0.3846153846 Simplifying x = -0.3846153846
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