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Simplifying 7x + -1 = -5(4 + 3x) + -3 Reorder the terms: -1 + 7x = -5(4 + 3x) + -3 -1 + 7x = (4 * -5 + 3x * -5) + -3 -1 + 7x = (-20 + -15x) + -3 Reorder the terms: -1 + 7x = -20 + -3 + -15x Combine like terms: -20 + -3 = -23 -1 + 7x = -23 + -15x Solving -1 + 7x = -23 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -1 + 7x + 15x = -23 + -15x + 15x Combine like terms: 7x + 15x = 22x -1 + 22x = -23 + -15x + 15x Combine like terms: -15x + 15x = 0 -1 + 22x = -23 + 0 -1 + 22x = -23 Add '1' to each side of the equation. -1 + 1 + 22x = -23 + 1 Combine like terms: -1 + 1 = 0 0 + 22x = -23 + 1 22x = -23 + 1 Combine like terms: -23 + 1 = -22 22x = -22 Divide each side by '22'. x = -1 Simplifying x = -1
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