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Simplifying 4(x + -5) + -1(-4x + -6) = 7x Reorder the terms: 4(-5 + x) + -1(-4x + -6) = 7x (-5 * 4 + x * 4) + -1(-4x + -6) = 7x (-20 + 4x) + -1(-4x + -6) = 7x Reorder the terms: -20 + 4x + -1(-6 + -4x) = 7x -20 + 4x + (-6 * -1 + -4x * -1) = 7x -20 + 4x + (6 + 4x) = 7x Reorder the terms: -20 + 6 + 4x + 4x = 7x Combine like terms: -20 + 6 = -14 -14 + 4x + 4x = 7x Combine like terms: 4x + 4x = 8x -14 + 8x = 7x Solving -14 + 8x = 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. -14 + 8x + -7x = 7x + -7x Combine like terms: 8x + -7x = 1x -14 + 1x = 7x + -7x Combine like terms: 7x + -7x = 0 -14 + 1x = 0 Add '14' to each side of the equation. -14 + 14 + 1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 0 + 14 1x = 0 + 14 Combine like terms: 0 + 14 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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