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Simplifying 7x + 6 + -3x = -10(x + -2) Reorder the terms: 6 + 7x + -3x = -10(x + -2) Combine like terms: 7x + -3x = 4x 6 + 4x = -10(x + -2) Reorder the terms: 6 + 4x = -10(-2 + x) 6 + 4x = (-2 * -10 + x * -10) 6 + 4x = (20 + -10x) Solving 6 + 4x = 20 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6 + 4x + 10x = 20 + -10x + 10x Combine like terms: 4x + 10x = 14x 6 + 14x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 6 + 14x = 20 + 0 6 + 14x = 20 Add '-6' to each side of the equation. 6 + -6 + 14x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 20 + -6 14x = 20 + -6 Combine like terms: 20 + -6 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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