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Simplifying 48 = -3(1 + -7x) + 5(3x + 3) 48 = (1 * -3 + -7x * -3) + 5(3x + 3) 48 = (-3 + 21x) + 5(3x + 3) Reorder the terms: 48 = -3 + 21x + 5(3 + 3x) 48 = -3 + 21x + (3 * 5 + 3x * 5) 48 = -3 + 21x + (15 + 15x) Reorder the terms: 48 = -3 + 15 + 21x + 15x Combine like terms: -3 + 15 = 12 48 = 12 + 21x + 15x Combine like terms: 21x + 15x = 36x 48 = 12 + 36x Solving 48 = 12 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 48 + -36x = 12 + 36x + -36x Combine like terms: 36x + -36x = 0 48 + -36x = 12 + 0 48 + -36x = 12 Add '-48' to each side of the equation. 48 + -48 + -36x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + -36x = 12 + -48 -36x = 12 + -48 Combine like terms: 12 + -48 = -36 -36x = -36 Divide each side by '-36'. x = 1 Simplifying x = 1
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