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Simplifying 3(2x + -4) + 8 = 2x + 48 Reorder the terms: 3(-4 + 2x) + 8 = 2x + 48 (-4 * 3 + 2x * 3) + 8 = 2x + 48 (-12 + 6x) + 8 = 2x + 48 Reorder the terms: -12 + 8 + 6x = 2x + 48 Combine like terms: -12 + 8 = -4 -4 + 6x = 2x + 48 Reorder the terms: -4 + 6x = 48 + 2x Solving -4 + 6x = 48 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 6x + -2x = 48 + 2x + -2x Combine like terms: 6x + -2x = 4x -4 + 4x = 48 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 4x = 48 + 0 -4 + 4x = 48 Add '4' to each side of the equation. -4 + 4 + 4x = 48 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 48 + 4 4x = 48 + 4 Combine like terms: 48 + 4 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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