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Simplifying 4x + -3 = 15 + 2(7x + 6) Reorder the terms: -3 + 4x = 15 + 2(7x + 6) Reorder the terms: -3 + 4x = 15 + 2(6 + 7x) -3 + 4x = 15 + (6 * 2 + 7x * 2) -3 + 4x = 15 + (12 + 14x) Combine like terms: 15 + 12 = 27 -3 + 4x = 27 + 14x Solving -3 + 4x = 27 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -3 + 4x + -14x = 27 + 14x + -14x Combine like terms: 4x + -14x = -10x -3 + -10x = 27 + 14x + -14x Combine like terms: 14x + -14x = 0 -3 + -10x = 27 + 0 -3 + -10x = 27 Add '3' to each side of the equation. -3 + 3 + -10x = 27 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 27 + 3 -10x = 27 + 3 Combine like terms: 27 + 3 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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