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Simplifying 6(x + -7) + -4x = 5(x + -4) + -1 Reorder the terms: 6(-7 + x) + -4x = 5(x + -4) + -1 (-7 * 6 + x * 6) + -4x = 5(x + -4) + -1 (-42 + 6x) + -4x = 5(x + -4) + -1 Combine like terms: 6x + -4x = 2x -42 + 2x = 5(x + -4) + -1 Reorder the terms: -42 + 2x = 5(-4 + x) + -1 -42 + 2x = (-4 * 5 + x * 5) + -1 -42 + 2x = (-20 + 5x) + -1 Reorder the terms: -42 + 2x = -20 + -1 + 5x Combine like terms: -20 + -1 = -21 -42 + 2x = -21 + 5x Solving -42 + 2x = -21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -42 + 2x + -5x = -21 + 5x + -5x Combine like terms: 2x + -5x = -3x -42 + -3x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + -3x = -21 + 0 -42 + -3x = -21 Add '42' to each side of the equation. -42 + 42 + -3x = -21 + 42 Combine like terms: -42 + 42 = 0 0 + -3x = -21 + 42 -3x = -21 + 42 Combine like terms: -21 + 42 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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