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Simplifying 2x + -43 = 4(3x + 3) + 5 Reorder the terms: -43 + 2x = 4(3x + 3) + 5 Reorder the terms: -43 + 2x = 4(3 + 3x) + 5 -43 + 2x = (3 * 4 + 3x * 4) + 5 -43 + 2x = (12 + 12x) + 5 Reorder the terms: -43 + 2x = 12 + 5 + 12x Combine like terms: 12 + 5 = 17 -43 + 2x = 17 + 12x Solving -43 + 2x = 17 + 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. -43 + 2x + -12x = 17 + 12x + -12x Combine like terms: 2x + -12x = -10x -43 + -10x = 17 + 12x + -12x Combine like terms: 12x + -12x = 0 -43 + -10x = 17 + 0 -43 + -10x = 17 Add '43' to each side of the equation. -43 + 43 + -10x = 17 + 43 Combine like terms: -43 + 43 = 0 0 + -10x = 17 + 43 -10x = 17 + 43 Combine like terms: 17 + 43 = 60 -10x = 60 Divide each side by '-10'. x = -6 Simplifying x = -6
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