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Simplifying 3(x + -3) + 7x = 4x + -1(2x + 5) Reorder the terms: 3(-3 + x) + 7x = 4x + -1(2x + 5) (-3 * 3 + x * 3) + 7x = 4x + -1(2x + 5) (-9 + 3x) + 7x = 4x + -1(2x + 5) Combine like terms: 3x + 7x = 10x -9 + 10x = 4x + -1(2x + 5) Reorder the terms: -9 + 10x = 4x + -1(5 + 2x) -9 + 10x = 4x + (5 * -1 + 2x * -1) -9 + 10x = 4x + (-5 + -2x) Reorder the terms: -9 + 10x = -5 + 4x + -2x Combine like terms: 4x + -2x = 2x -9 + 10x = -5 + 2x Solving -9 + 10x = -5 + 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. -9 + 10x + -2x = -5 + 2x + -2x Combine like terms: 10x + -2x = 8x -9 + 8x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 8x = -5 + 0 -9 + 8x = -5 Add '9' to each side of the equation. -9 + 9 + 8x = -5 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = -5 + 9 8x = -5 + 9 Combine like terms: -5 + 9 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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