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Simplifying 6x + -48 + 6 = -2x + -16 + 10 Reorder the terms: -48 + 6 + 6x = -2x + -16 + 10 Combine like terms: -48 + 6 = -42 -42 + 6x = -2x + -16 + 10 Reorder the terms: -42 + 6x = -16 + 10 + -2x Combine like terms: -16 + 10 = -6 -42 + 6x = -6 + -2x Solving -42 + 6x = -6 + -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. -42 + 6x + 2x = -6 + -2x + 2x Combine like terms: 6x + 2x = 8x -42 + 8x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -42 + 8x = -6 + 0 -42 + 8x = -6 Add '42' to each side of the equation. -42 + 42 + 8x = -6 + 42 Combine like terms: -42 + 42 = 0 0 + 8x = -6 + 42 8x = -6 + 42 Combine like terms: -6 + 42 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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