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Simplifying 3(x + -6) + -8X = -2 + 5(2x + 1) Reorder the terms: 3(-6 + x) + -8X = -2 + 5(2x + 1) (-6 * 3 + x * 3) + -8X = -2 + 5(2x + 1) (-18 + 3x) + -8X = -2 + 5(2x + 1) Reorder the terms: -18 + -8X + 3x = -2 + 5(2x + 1) Reorder the terms: -18 + -8X + 3x = -2 + 5(1 + 2x) -18 + -8X + 3x = -2 + (1 * 5 + 2x * 5) -18 + -8X + 3x = -2 + (5 + 10x) Combine like terms: -2 + 5 = 3 -18 + -8X + 3x = 3 + 10x Solving -18 + -8X + 3x = 3 + 10x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -8X + 18 + 3x = 3 + 18 + 10x Reorder the terms: -18 + 18 + -8X + 3x = 3 + 18 + 10x Combine like terms: -18 + 18 = 0 0 + -8X + 3x = 3 + 18 + 10x -8X + 3x = 3 + 18 + 10x Combine like terms: 3 + 18 = 21 -8X + 3x = 21 + 10x Add '-3x' to each side of the equation. -8X + 3x + -3x = 21 + 10x + -3x Combine like terms: 3x + -3x = 0 -8X + 0 = 21 + 10x + -3x -8X = 21 + 10x + -3x Combine like terms: 10x + -3x = 7x -8X = 21 + 7x Divide each side by '-8'. X = -2.625 + -0.875x Simplifying X = -2.625 + -0.875x
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