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Simplifying -5x + 4(-1x + 9) + -7(7 + 3x) = -7 Reorder the terms: -5x + 4(9 + -1x) + -7(7 + 3x) = -7 -5x + (9 * 4 + -1x * 4) + -7(7 + 3x) = -7 -5x + (36 + -4x) + -7(7 + 3x) = -7 -5x + 36 + -4x + (7 * -7 + 3x * -7) = -7 -5x + 36 + -4x + (-49 + -21x) = -7 Reorder the terms: 36 + -49 + -5x + -4x + -21x = -7 Combine like terms: 36 + -49 = -13 -13 + -5x + -4x + -21x = -7 Combine like terms: -5x + -4x = -9x -13 + -9x + -21x = -7 Combine like terms: -9x + -21x = -30x -13 + -30x = -7 Solving -13 + -30x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -30x = -7 + 13 Combine like terms: -13 + 13 = 0 0 + -30x = -7 + 13 -30x = -7 + 13 Combine like terms: -7 + 13 = 6 -30x = 6 Divide each side by '-30'. x = -0.2 Simplifying x = -0.2
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