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Simplifying 6x + -1(5x + 4) = 7x + -10 Reorder the terms: 6x + -1(4 + 5x) = 7x + -10 6x + (4 * -1 + 5x * -1) = 7x + -10 6x + (-4 + -5x) = 7x + -10 Reorder the terms: -4 + 6x + -5x = 7x + -10 Combine like terms: 6x + -5x = 1x -4 + 1x = 7x + -10 Reorder the terms: -4 + 1x = -10 + 7x Solving -4 + 1x = -10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 1x + -7x = -10 + 7x + -7x Combine like terms: 1x + -7x = -6x -4 + -6x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -6x = -10 + 0 -4 + -6x = -10 Add '4' to each side of the equation. -4 + 4 + -6x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -10 + 4 -6x = -10 + 4 Combine like terms: -10 + 4 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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