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Simplifying 4x + -3(x + 7) + -5x + 2(x + -1) = 9 Reorder the terms: 4x + -3(7 + x) + -5x + 2(x + -1) = 9 4x + (7 * -3 + x * -3) + -5x + 2(x + -1) = 9 4x + (-21 + -3x) + -5x + 2(x + -1) = 9 Reorder the terms: 4x + -21 + -3x + -5x + 2(-1 + x) = 9 4x + -21 + -3x + -5x + (-1 * 2 + x * 2) = 9 4x + -21 + -3x + -5x + (-2 + 2x) = 9 Reorder the terms: -21 + -2 + 4x + -3x + -5x + 2x = 9 Combine like terms: -21 + -2 = -23 -23 + 4x + -3x + -5x + 2x = 9 Combine like terms: 4x + -3x = 1x -23 + 1x + -5x + 2x = 9 Combine like terms: 1x + -5x = -4x -23 + -4x + 2x = 9 Combine like terms: -4x + 2x = -2x -23 + -2x = 9 Solving -23 + -2x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -2x = 9 + 23 Combine like terms: -23 + 23 = 0 0 + -2x = 9 + 23 -2x = 9 + 23 Combine like terms: 9 + 23 = 32 -2x = 32 Divide each side by '-2'. x = -16 Simplifying x = -16
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