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Simplifying 4x + -5 + 3(x + -3) = 12x + 7 Reorder the terms: 4x + -5 + 3(-3 + x) = 12x + 7 4x + -5 + (-3 * 3 + x * 3) = 12x + 7 4x + -5 + (-9 + 3x) = 12x + 7 Reorder the terms: -5 + -9 + 4x + 3x = 12x + 7 Combine like terms: -5 + -9 = -14 -14 + 4x + 3x = 12x + 7 Combine like terms: 4x + 3x = 7x -14 + 7x = 12x + 7 Reorder the terms: -14 + 7x = 7 + 12x Solving -14 + 7x = 7 + 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. -14 + 7x + -12x = 7 + 12x + -12x Combine like terms: 7x + -12x = -5x -14 + -5x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -5x = 7 + 0 -14 + -5x = 7 Add '14' to each side of the equation. -14 + 14 + -5x = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -5x = 7 + 14 -5x = 7 + 14 Combine like terms: 7 + 14 = 21 -5x = 21 Divide each side by '-5'. x = -4.2 Simplifying x = -4.2
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