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Simplifying 5x + -1(6 + 2x) = 10x + -55 5x + (6 * -1 + 2x * -1) = 10x + -55 5x + (-6 + -2x) = 10x + -55 Reorder the terms: -6 + 5x + -2x = 10x + -55 Combine like terms: 5x + -2x = 3x -6 + 3x = 10x + -55 Reorder the terms: -6 + 3x = -55 + 10x Solving -6 + 3x = -55 + 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 + 3x + -10x = -55 + 10x + -10x Combine like terms: 3x + -10x = -7x -6 + -7x = -55 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -7x = -55 + 0 -6 + -7x = -55 Add '6' to each side of the equation. -6 + 6 + -7x = -55 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -55 + 6 -7x = -55 + 6 Combine like terms: -55 + 6 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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