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Simplifying 15(x + -6) = 3(-2x + -2) Reorder the terms: 15(-6 + x) = 3(-2x + -2) (-6 * 15 + x * 15) = 3(-2x + -2) (-90 + 15x) = 3(-2x + -2) Reorder the terms: -90 + 15x = 3(-2 + -2x) -90 + 15x = (-2 * 3 + -2x * 3) -90 + 15x = (-6 + -6x) Solving -90 + 15x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -90 + 15x + 6x = -6 + -6x + 6x Combine like terms: 15x + 6x = 21x -90 + 21x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -90 + 21x = -6 + 0 -90 + 21x = -6 Add '90' to each side of the equation. -90 + 90 + 21x = -6 + 90 Combine like terms: -90 + 90 = 0 0 + 21x = -6 + 90 21x = -6 + 90 Combine like terms: -6 + 90 = 84 21x = 84 Divide each side by '21'. x = 4 Simplifying x = 4
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