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Simplifying 4(3x + 4) + -48 = 6x + -2 Reorder the terms: 4(4 + 3x) + -48 = 6x + -2 (4 * 4 + 3x * 4) + -48 = 6x + -2 (16 + 12x) + -48 = 6x + -2 Reorder the terms: 16 + -48 + 12x = 6x + -2 Combine like terms: 16 + -48 = -32 -32 + 12x = 6x + -2 Reorder the terms: -32 + 12x = -2 + 6x Solving -32 + 12x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + 12x + -6x = -2 + 6x + -6x Combine like terms: 12x + -6x = 6x -32 + 6x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 6x = -2 + 0 -32 + 6x = -2 Add '32' to each side of the equation. -32 + 32 + 6x = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = -2 + 32 6x = -2 + 32 Combine like terms: -2 + 32 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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