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Simplifying 6x + -1(8x + 3) = 7x + -48 Reorder the terms: 6x + -1(3 + 8x) = 7x + -48 6x + (3 * -1 + 8x * -1) = 7x + -48 6x + (-3 + -8x) = 7x + -48 Reorder the terms: -3 + 6x + -8x = 7x + -48 Combine like terms: 6x + -8x = -2x -3 + -2x = 7x + -48 Reorder the terms: -3 + -2x = -48 + 7x Solving -3 + -2x = -48 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + -2x + -7x = -48 + 7x + -7x Combine like terms: -2x + -7x = -9x -3 + -9x = -48 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -9x = -48 + 0 -3 + -9x = -48 Add '3' to each side of the equation. -3 + 3 + -9x = -48 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = -48 + 3 -9x = -48 + 3 Combine like terms: -48 + 3 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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