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