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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 = 7x -10 + -16x = 5 + 7x Solving -10 + -16x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -10 + -16x + -7x = 5 + 7x + -7x Combine like terms: -16x + -7x = -23x -10 + -23x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -23x = 5 + 0 -10 + -23x = 5 Add '10' to each side of the equation. -10 + 10 + -23x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -23x = 5 + 10 -23x = 5 + 10 Combine like terms: 5 + 10 = 15 -23x = 15 Divide each side by '-23'. x = -0.652173913 Simplifying x = -0.652173913
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