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Simplifying 100 + -7[3x + -3(4 + -3)] = x Combine like terms: 4 + -3 = 1 100 + -7[3x + -3(1)] = x Multiply -3 * 1 100 + -7[3x + -3] = x Reorder the terms: 100 + -7[-3 + 3x] = x 100 + [-3 * -7 + 3x * -7] = x 100 + [21 + -21x] = x Combine like terms: 100 + 21 = 121 121 + -21x = x Solving 121 + -21x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 121 + -21x + -1x = x + -1x Combine like terms: -21x + -1x = -22x 121 + -22x = x + -1x Combine like terms: x + -1x = 0 121 + -22x = 0 Add '-121' to each side of the equation. 121 + -121 + -22x = 0 + -121 Combine like terms: 121 + -121 = 0 0 + -22x = 0 + -121 -22x = 0 + -121 Combine like terms: 0 + -121 = -121 -22x = -121 Divide each side by '-22'. x = 5.5 Simplifying x = 5.5
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