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Simplifying -10(6x + 6) = 60(4x + -16) Reorder the terms: -10(6 + 6x) = 60(4x + -16) (6 * -10 + 6x * -10) = 60(4x + -16) (-60 + -60x) = 60(4x + -16) Reorder the terms: -60 + -60x = 60(-16 + 4x) -60 + -60x = (-16 * 60 + 4x * 60) -60 + -60x = (-960 + 240x) Solving -60 + -60x = -960 + 240x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-240x' to each side of the equation. -60 + -60x + -240x = -960 + 240x + -240x Combine like terms: -60x + -240x = -300x -60 + -300x = -960 + 240x + -240x Combine like terms: 240x + -240x = 0 -60 + -300x = -960 + 0 -60 + -300x = -960 Add '60' to each side of the equation. -60 + 60 + -300x = -960 + 60 Combine like terms: -60 + 60 = 0 0 + -300x = -960 + 60 -300x = -960 + 60 Combine like terms: -960 + 60 = -900 -300x = -900 Divide each side by '-300'. x = 3 Simplifying x = 3
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