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Simplifying 4x + 2(3x + -5) = 12x + -3 Reorder the terms: 4x + 2(-5 + 3x) = 12x + -3 4x + (-5 * 2 + 3x * 2) = 12x + -3 4x + (-10 + 6x) = 12x + -3 Reorder the terms: -10 + 4x + 6x = 12x + -3 Combine like terms: 4x + 6x = 10x -10 + 10x = 12x + -3 Reorder the terms: -10 + 10x = -3 + 12x Solving -10 + 10x = -3 + 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. -10 + 10x + -12x = -3 + 12x + -12x Combine like terms: 10x + -12x = -2x -10 + -2x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -2x = -3 + 0 -10 + -2x = -3 Add '10' to each side of the equation. -10 + 10 + -2x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -3 + 10 -2x = -3 + 10 Combine like terms: -3 + 10 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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