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Simplifying 2(4x + -3) + -3x = 5 + 4(3x + -8) Reorder the terms: 2(-3 + 4x) + -3x = 5 + 4(3x + -8) (-3 * 2 + 4x * 2) + -3x = 5 + 4(3x + -8) (-6 + 8x) + -3x = 5 + 4(3x + -8) Combine like terms: 8x + -3x = 5x -6 + 5x = 5 + 4(3x + -8) Reorder the terms: -6 + 5x = 5 + 4(-8 + 3x) -6 + 5x = 5 + (-8 * 4 + 3x * 4) -6 + 5x = 5 + (-32 + 12x) Combine like terms: 5 + -32 = -27 -6 + 5x = -27 + 12x Solving -6 + 5x = -27 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 5x + -12x = -27 + 12x + -12x Combine like terms: 5x + -12x = -7x -6 + -7x = -27 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -7x = -27 + 0 -6 + -7x = -27 Add '6' to each side of the equation. -6 + 6 + -7x = -27 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -27 + 6 -7x = -27 + 6 Combine like terms: -27 + 6 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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