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Simplifying 3(x + 2) + -8 = 4(x + -2) + 3x Reorder the terms: 3(2 + x) + -8 = 4(x + -2) + 3x (2 * 3 + x * 3) + -8 = 4(x + -2) + 3x (6 + 3x) + -8 = 4(x + -2) + 3x Reorder the terms: 6 + -8 + 3x = 4(x + -2) + 3x Combine like terms: 6 + -8 = -2 -2 + 3x = 4(x + -2) + 3x Reorder the terms: -2 + 3x = 4(-2 + x) + 3x -2 + 3x = (-2 * 4 + x * 4) + 3x -2 + 3x = (-8 + 4x) + 3x Combine like terms: 4x + 3x = 7x -2 + 3x = -8 + 7x Solving -2 + 3x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 3x + -7x = -8 + 7x + -7x Combine like terms: 3x + -7x = -4x -2 + -4x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -4x = -8 + 0 -2 + -4x = -8 Add '2' to each side of the equation. -2 + 2 + -4x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -8 + 2 -4x = -8 + 2 Combine like terms: -8 + 2 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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