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Simplifying 3(x + 2) = -1(15x + 48) Reorder the terms: 3(2 + x) = -1(15x + 48) (2 * 3 + x * 3) = -1(15x + 48) (6 + 3x) = -1(15x + 48) Reorder the terms: 6 + 3x = -1(48 + 15x) 6 + 3x = (48 * -1 + 15x * -1) 6 + 3x = (-48 + -15x) Solving 6 + 3x = -48 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 6 + 3x + 15x = -48 + -15x + 15x Combine like terms: 3x + 15x = 18x 6 + 18x = -48 + -15x + 15x Combine like terms: -15x + 15x = 0 6 + 18x = -48 + 0 6 + 18x = -48 Add '-6' to each side of the equation. 6 + -6 + 18x = -48 + -6 Combine like terms: 6 + -6 = 0 0 + 18x = -48 + -6 18x = -48 + -6 Combine like terms: -48 + -6 = -54 18x = -54 Divide each side by '18'. x = -3 Simplifying x = -3
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