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Simplifying 7x + 14 + -3x = 4(x + 1) + -2x Reorder the terms: 14 + 7x + -3x = 4(x + 1) + -2x Combine like terms: 7x + -3x = 4x 14 + 4x = 4(x + 1) + -2x Reorder the terms: 14 + 4x = 4(1 + x) + -2x 14 + 4x = (1 * 4 + x * 4) + -2x 14 + 4x = (4 + 4x) + -2x Combine like terms: 4x + -2x = 2x 14 + 4x = 4 + 2x Solving 14 + 4x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 4x + -2x = 4 + 2x + -2x Combine like terms: 4x + -2x = 2x 14 + 2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 2x = 4 + 0 14 + 2x = 4 Add '-14' to each side of the equation. 14 + -14 + 2x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 4 + -14 2x = 4 + -14 Combine like terms: 4 + -14 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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