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Simplifying 5x + 6 = -2(5x + -48) Reorder the terms: 6 + 5x = -2(5x + -48) Reorder the terms: 6 + 5x = -2(-48 + 5x) 6 + 5x = (-48 * -2 + 5x * -2) 6 + 5x = (96 + -10x) Solving 6 + 5x = 96 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6 + 5x + 10x = 96 + -10x + 10x Combine like terms: 5x + 10x = 15x 6 + 15x = 96 + -10x + 10x Combine like terms: -10x + 10x = 0 6 + 15x = 96 + 0 6 + 15x = 96 Add '-6' to each side of the equation. 6 + -6 + 15x = 96 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = 96 + -6 15x = 96 + -6 Combine like terms: 96 + -6 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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