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Simplifying 100 = -7x + -5(3x + 2) Reorder the terms: 100 = -7x + -5(2 + 3x) 100 = -7x + (2 * -5 + 3x * -5) 100 = -7x + (-10 + -15x) Reorder the terms: 100 = -10 + -7x + -15x Combine like terms: -7x + -15x = -22x 100 = -10 + -22x Solving 100 = -10 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 100 + 22x = -10 + -22x + 22x Combine like terms: -22x + 22x = 0 100 + 22x = -10 + 0 100 + 22x = -10 Add '-100' to each side of the equation. 100 + -100 + 22x = -10 + -100 Combine like terms: 100 + -100 = 0 0 + 22x = -10 + -100 22x = -10 + -100 Combine like terms: -10 + -100 = -110 22x = -110 Divide each side by '22'. x = -5 Simplifying x = -5
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