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Simplifying 4(3x + -4) + 3x = 2(3x + -4) + 5x Reorder the terms: 4(-4 + 3x) + 3x = 2(3x + -4) + 5x (-4 * 4 + 3x * 4) + 3x = 2(3x + -4) + 5x (-16 + 12x) + 3x = 2(3x + -4) + 5x Combine like terms: 12x + 3x = 15x -16 + 15x = 2(3x + -4) + 5x Reorder the terms: -16 + 15x = 2(-4 + 3x) + 5x -16 + 15x = (-4 * 2 + 3x * 2) + 5x -16 + 15x = (-8 + 6x) + 5x Combine like terms: 6x + 5x = 11x -16 + 15x = -8 + 11x Solving -16 + 15x = -8 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -16 + 15x + -11x = -8 + 11x + -11x Combine like terms: 15x + -11x = 4x -16 + 4x = -8 + 11x + -11x Combine like terms: 11x + -11x = 0 -16 + 4x = -8 + 0 -16 + 4x = -8 Add '16' to each side of the equation. -16 + 16 + 4x = -8 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -8 + 16 4x = -8 + 16 Combine like terms: -8 + 16 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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