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Simplifying 3(x + -3) + 5x = 4x + -2(3x + 7) Reorder the terms: 3(-3 + x) + 5x = 4x + -2(3x + 7) (-3 * 3 + x * 3) + 5x = 4x + -2(3x + 7) (-9 + 3x) + 5x = 4x + -2(3x + 7) Combine like terms: 3x + 5x = 8x -9 + 8x = 4x + -2(3x + 7) Reorder the terms: -9 + 8x = 4x + -2(7 + 3x) -9 + 8x = 4x + (7 * -2 + 3x * -2) -9 + 8x = 4x + (-14 + -6x) Reorder the terms: -9 + 8x = -14 + 4x + -6x Combine like terms: 4x + -6x = -2x -9 + 8x = -14 + -2x Solving -9 + 8x = -14 + -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 + 8x + 2x = -14 + -2x + 2x Combine like terms: 8x + 2x = 10x -9 + 10x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 10x = -14 + 0 -9 + 10x = -14 Add '9' to each side of the equation. -9 + 9 + 10x = -14 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = -14 + 9 10x = -14 + 9 Combine like terms: -14 + 9 = -5 10x = -5 Divide each side by '10'. x = -0.5 Simplifying x = -0.5
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