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Simplifying 4(x + -5) + -1 = 6x + 7 + -4x Reorder the terms: 4(-5 + x) + -1 = 6x + 7 + -4x (-5 * 4 + x * 4) + -1 = 6x + 7 + -4x (-20 + 4x) + -1 = 6x + 7 + -4x Reorder the terms: -20 + -1 + 4x = 6x + 7 + -4x Combine like terms: -20 + -1 = -21 -21 + 4x = 6x + 7 + -4x Reorder the terms: -21 + 4x = 7 + 6x + -4x Combine like terms: 6x + -4x = 2x -21 + 4x = 7 + 2x Solving -21 + 4x = 7 + 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. -21 + 4x + -2x = 7 + 2x + -2x Combine like terms: 4x + -2x = 2x -21 + 2x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 2x = 7 + 0 -21 + 2x = 7 Add '21' to each side of the equation. -21 + 21 + 2x = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 7 + 21 2x = 7 + 21 Combine like terms: 7 + 21 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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