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Simplifying 7[x + -1(2x + 3)] = 9 + -4x Reorder the terms: 7[x + -1(3 + 2x)] = 9 + -4x 7[x + (3 * -1 + 2x * -1)] = 9 + -4x 7[x + (-3 + -2x)] = 9 + -4x Reorder the terms: 7[-3 + x + -2x] = 9 + -4x Combine like terms: x + -2x = -1x 7[-3 + -1x] = 9 + -4x [-3 * 7 + -1x * 7] = 9 + -4x [-21 + -7x] = 9 + -4x Solving -21 + -7x = 9 + -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. -21 + -7x + 4x = 9 + -4x + 4x Combine like terms: -7x + 4x = -3x -21 + -3x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -21 + -3x = 9 + 0 -21 + -3x = 9 Add '21' to each side of the equation. -21 + 21 + -3x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = 9 + 21 -3x = 9 + 21 Combine like terms: 9 + 21 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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