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Simplifying 4x + -7 + 5(x + -3) = 2x + -1 Reorder the terms: 4x + -7 + 5(-3 + x) = 2x + -1 4x + -7 + (-3 * 5 + x * 5) = 2x + -1 4x + -7 + (-15 + 5x) = 2x + -1 Reorder the terms: -7 + -15 + 4x + 5x = 2x + -1 Combine like terms: -7 + -15 = -22 -22 + 4x + 5x = 2x + -1 Combine like terms: 4x + 5x = 9x -22 + 9x = 2x + -1 Reorder the terms: -22 + 9x = -1 + 2x Solving -22 + 9x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -22 + 9x + -2x = -1 + 2x + -2x Combine like terms: 9x + -2x = 7x -22 + 7x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 7x = -1 + 0 -22 + 7x = -1 Add '22' to each side of the equation. -22 + 22 + 7x = -1 + 22 Combine like terms: -22 + 22 = 0 0 + 7x = -1 + 22 7x = -1 + 22 Combine like terms: -1 + 22 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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