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Simplifying x + -48 = 5(4x + -2) Reorder the terms: -48 + x = 5(4x + -2) Reorder the terms: -48 + x = 5(-2 + 4x) -48 + x = (-2 * 5 + 4x * 5) -48 + x = (-10 + 20x) Solving -48 + x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -48 + x + -20x = -10 + 20x + -20x Combine like terms: x + -20x = -19x -48 + -19x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -48 + -19x = -10 + 0 -48 + -19x = -10 Add '48' to each side of the equation. -48 + 48 + -19x = -10 + 48 Combine like terms: -48 + 48 = 0 0 + -19x = -10 + 48 -19x = -10 + 48 Combine like terms: -10 + 48 = 38 -19x = 38 Divide each side by '-19'. x = -2 Simplifying x = -2
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