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Simplifying 4x + -1(3 + 5x) + -7 = -4x + 2x + -6 4x + (3 * -1 + 5x * -1) + -7 = -4x + 2x + -6 4x + (-3 + -5x) + -7 = -4x + 2x + -6 Reorder the terms: -3 + -7 + 4x + -5x = -4x + 2x + -6 Combine like terms: -3 + -7 = -10 -10 + 4x + -5x = -4x + 2x + -6 Combine like terms: 4x + -5x = -1x -10 + -1x = -4x + 2x + -6 Reorder the terms: -10 + -1x = -6 + -4x + 2x Combine like terms: -4x + 2x = -2x -10 + -1x = -6 + -2x Solving -10 + -1x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + -1x + 2x = -6 + -2x + 2x Combine like terms: -1x + 2x = 1x -10 + 1x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 1x = -6 + 0 -10 + 1x = -6 Add '10' to each side of the equation. -10 + 10 + 1x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -6 + 10 1x = -6 + 10 Combine like terms: -6 + 10 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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