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Simplifying 6(x + -5) + -4(x + 1) = 5x + -7 Reorder the terms: 6(-5 + x) + -4(x + 1) = 5x + -7 (-5 * 6 + x * 6) + -4(x + 1) = 5x + -7 (-30 + 6x) + -4(x + 1) = 5x + -7 Reorder the terms: -30 + 6x + -4(1 + x) = 5x + -7 -30 + 6x + (1 * -4 + x * -4) = 5x + -7 -30 + 6x + (-4 + -4x) = 5x + -7 Reorder the terms: -30 + -4 + 6x + -4x = 5x + -7 Combine like terms: -30 + -4 = -34 -34 + 6x + -4x = 5x + -7 Combine like terms: 6x + -4x = 2x -34 + 2x = 5x + -7 Reorder the terms: -34 + 2x = -7 + 5x Solving -34 + 2x = -7 + 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. -34 + 2x + -5x = -7 + 5x + -5x Combine like terms: 2x + -5x = -3x -34 + -3x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + -3x = -7 + 0 -34 + -3x = -7 Add '34' to each side of the equation. -34 + 34 + -3x = -7 + 34 Combine like terms: -34 + 34 = 0 0 + -3x = -7 + 34 -3x = -7 + 34 Combine like terms: -7 + 34 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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