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Simplifying 3(8x + -1x) + -48 = 27x + -6(4 + 5x) Combine like terms: 8x + -1x = 7x 3(7x) + -48 = 27x + -6(4 + 5x) Remove parenthesis around (7x) 3 * 7x + -48 = 27x + -6(4 + 5x) Multiply 3 * 7 21x + -48 = 27x + -6(4 + 5x) Reorder the terms: -48 + 21x = 27x + -6(4 + 5x) -48 + 21x = 27x + (4 * -6 + 5x * -6) -48 + 21x = 27x + (-24 + -30x) Reorder the terms: -48 + 21x = -24 + 27x + -30x Combine like terms: 27x + -30x = -3x -48 + 21x = -24 + -3x Solving -48 + 21x = -24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -48 + 21x + 3x = -24 + -3x + 3x Combine like terms: 21x + 3x = 24x -48 + 24x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 -48 + 24x = -24 + 0 -48 + 24x = -24 Add '48' to each side of the equation. -48 + 48 + 24x = -24 + 48 Combine like terms: -48 + 48 = 0 0 + 24x = -24 + 48 24x = -24 + 48 Combine like terms: -24 + 48 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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