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Simplifying 100 + -3x + -1(7 + -3)(x + -3) = 7 Combine like terms: 7 + -3 = 4 100 + -3x + -1(4)(x + -3) = 7 Reorder the terms: 100 + -3x + -1 * 4(-3 + x) = 7 Multiply -1 * 4 100 + -3x + -4(-3 + x) = 7 100 + -3x + (-3 * -4 + x * -4) = 7 100 + -3x + (12 + -4x) = 7 Reorder the terms: 100 + 12 + -3x + -4x = 7 Combine like terms: 100 + 12 = 112 112 + -3x + -4x = 7 Combine like terms: -3x + -4x = -7x 112 + -7x = 7 Solving 112 + -7x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + -7x = 7 + -112 Combine like terms: 112 + -112 = 0 0 + -7x = 7 + -112 -7x = 7 + -112 Combine like terms: 7 + -112 = -105 -7x = -105 Divide each side by '-7'. x = 15 Simplifying x = 15
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