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Simplifying 4(3x + -8) + -6 = 4(x + -2) + 18 Reorder the terms: 4(-8 + 3x) + -6 = 4(x + -2) + 18 (-8 * 4 + 3x * 4) + -6 = 4(x + -2) + 18 (-32 + 12x) + -6 = 4(x + -2) + 18 Reorder the terms: -32 + -6 + 12x = 4(x + -2) + 18 Combine like terms: -32 + -6 = -38 -38 + 12x = 4(x + -2) + 18 Reorder the terms: -38 + 12x = 4(-2 + x) + 18 -38 + 12x = (-2 * 4 + x * 4) + 18 -38 + 12x = (-8 + 4x) + 18 Reorder the terms: -38 + 12x = -8 + 18 + 4x Combine like terms: -8 + 18 = 10 -38 + 12x = 10 + 4x Solving -38 + 12x = 10 + 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 + 12x + -4x = 10 + 4x + -4x Combine like terms: 12x + -4x = 8x -38 + 8x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -38 + 8x = 10 + 0 -38 + 8x = 10 Add '38' to each side of the equation. -38 + 38 + 8x = 10 + 38 Combine like terms: -38 + 38 = 0 0 + 8x = 10 + 38 8x = 10 + 38 Combine like terms: 10 + 38 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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