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Simplifying -4(x + 3) + 8x = -3(x + -3) Reorder the terms: -4(3 + x) + 8x = -3(x + -3) (3 * -4 + x * -4) + 8x = -3(x + -3) (-12 + -4x) + 8x = -3(x + -3) Combine like terms: -4x + 8x = 4x -12 + 4x = -3(x + -3) Reorder the terms: -12 + 4x = -3(-3 + x) -12 + 4x = (-3 * -3 + x * -3) -12 + 4x = (9 + -3x) Solving -12 + 4x = 9 + -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. -12 + 4x + 3x = 9 + -3x + 3x Combine like terms: 4x + 3x = 7x -12 + 7x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 7x = 9 + 0 -12 + 7x = 9 Add '12' to each side of the equation. -12 + 12 + 7x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 9 + 12 7x = 9 + 12 Combine like terms: 9 + 12 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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