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Simplifying 4(2x + -2) + -2 = 4(x + -4) + 42 Reorder the terms: 4(-2 + 2x) + -2 = 4(x + -4) + 42 (-2 * 4 + 2x * 4) + -2 = 4(x + -4) + 42 (-8 + 8x) + -2 = 4(x + -4) + 42 Reorder the terms: -8 + -2 + 8x = 4(x + -4) + 42 Combine like terms: -8 + -2 = -10 -10 + 8x = 4(x + -4) + 42 Reorder the terms: -10 + 8x = 4(-4 + x) + 42 -10 + 8x = (-4 * 4 + x * 4) + 42 -10 + 8x = (-16 + 4x) + 42 Reorder the terms: -10 + 8x = -16 + 42 + 4x Combine like terms: -16 + 42 = 26 -10 + 8x = 26 + 4x Solving -10 + 8x = 26 + 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. -10 + 8x + -4x = 26 + 4x + -4x Combine like terms: 8x + -4x = 4x -10 + 4x = 26 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 4x = 26 + 0 -10 + 4x = 26 Add '10' to each side of the equation. -10 + 10 + 4x = 26 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 26 + 10 4x = 26 + 10 Combine like terms: 26 + 10 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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