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Simplifying 4(2x + -9) + -2 = 4(x + -4) + 2 Reorder the terms: 4(-9 + 2x) + -2 = 4(x + -4) + 2 (-9 * 4 + 2x * 4) + -2 = 4(x + -4) + 2 (-36 + 8x) + -2 = 4(x + -4) + 2 Reorder the terms: -36 + -2 + 8x = 4(x + -4) + 2 Combine like terms: -36 + -2 = -38 -38 + 8x = 4(x + -4) + 2 Reorder the terms: -38 + 8x = 4(-4 + x) + 2 -38 + 8x = (-4 * 4 + x * 4) + 2 -38 + 8x = (-16 + 4x) + 2 Reorder the terms: -38 + 8x = -16 + 2 + 4x Combine like terms: -16 + 2 = -14 -38 + 8x = -14 + 4x Solving -38 + 8x = -14 + 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. -38 + 8x + -4x = -14 + 4x + -4x Combine like terms: 8x + -4x = 4x -38 + 4x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -38 + 4x = -14 + 0 -38 + 4x = -14 Add '38' to each side of the equation. -38 + 38 + 4x = -14 + 38 Combine like terms: -38 + 38 = 0 0 + 4x = -14 + 38 4x = -14 + 38 Combine like terms: -14 + 38 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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