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Simplifying -5(x + 2) = 7x + -6 + 2(3x + 2) Reorder the terms: -5(2 + x) = 7x + -6 + 2(3x + 2) (2 * -5 + x * -5) = 7x + -6 + 2(3x + 2) (-10 + -5x) = 7x + -6 + 2(3x + 2) Reorder the terms: -10 + -5x = 7x + -6 + 2(2 + 3x) -10 + -5x = 7x + -6 + (2 * 2 + 3x * 2) -10 + -5x = 7x + -6 + (4 + 6x) Reorder the terms: -10 + -5x = -6 + 4 + 7x + 6x Combine like terms: -6 + 4 = -2 -10 + -5x = -2 + 7x + 6x Combine like terms: 7x + 6x = 13x -10 + -5x = -2 + 13x Solving -10 + -5x = -2 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -10 + -5x + -13x = -2 + 13x + -13x Combine like terms: -5x + -13x = -18x -10 + -18x = -2 + 13x + -13x Combine like terms: 13x + -13x = 0 -10 + -18x = -2 + 0 -10 + -18x = -2 Add '10' to each side of the equation. -10 + 10 + -18x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -18x = -2 + 10 -18x = -2 + 10 Combine like terms: -2 + 10 = 8 -18x = 8 Divide each side by '-18'. x = -0.4444444444 Simplifying x = -0.4444444444
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