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Simplifying 4x + -48 = 3(5x + -1) + -1 Reorder the terms: -48 + 4x = 3(5x + -1) + -1 Reorder the terms: -48 + 4x = 3(-1 + 5x) + -1 -48 + 4x = (-1 * 3 + 5x * 3) + -1 -48 + 4x = (-3 + 15x) + -1 Reorder the terms: -48 + 4x = -3 + -1 + 15x Combine like terms: -3 + -1 = -4 -48 + 4x = -4 + 15x Solving -48 + 4x = -4 + 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. -48 + 4x + -15x = -4 + 15x + -15x Combine like terms: 4x + -15x = -11x -48 + -11x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 -48 + -11x = -4 + 0 -48 + -11x = -4 Add '48' to each side of the equation. -48 + 48 + -11x = -4 + 48 Combine like terms: -48 + 48 = 0 0 + -11x = -4 + 48 -11x = -4 + 48 Combine like terms: -4 + 48 = 44 -11x = 44 Divide each side by '-11'. x = -4 Simplifying x = -4
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