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Simplifying -7(-2x + 1) + -4x = 4(x + -4) + -5 Reorder the terms: -7(1 + -2x) + -4x = 4(x + -4) + -5 (1 * -7 + -2x * -7) + -4x = 4(x + -4) + -5 (-7 + 14x) + -4x = 4(x + -4) + -5 Combine like terms: 14x + -4x = 10x -7 + 10x = 4(x + -4) + -5 Reorder the terms: -7 + 10x = 4(-4 + x) + -5 -7 + 10x = (-4 * 4 + x * 4) + -5 -7 + 10x = (-16 + 4x) + -5 Reorder the terms: -7 + 10x = -16 + -5 + 4x Combine like terms: -16 + -5 = -21 -7 + 10x = -21 + 4x Solving -7 + 10x = -21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 10x + -4x = -21 + 4x + -4x Combine like terms: 10x + -4x = 6x -7 + 6x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 6x = -21 + 0 -7 + 6x = -21 Add '7' to each side of the equation. -7 + 7 + 6x = -21 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = -21 + 7 6x = -21 + 7 Combine like terms: -21 + 7 = -14 6x = -14 Divide each side by '6'. x = -2.333333333 Simplifying x = -2.333333333
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