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Simplifying 4x + 1 + 3x + -5 = 2(x + -2) + 30 Reorder the terms: 1 + -5 + 4x + 3x = 2(x + -2) + 30 Combine like terms: 1 + -5 = -4 -4 + 4x + 3x = 2(x + -2) + 30 Combine like terms: 4x + 3x = 7x -4 + 7x = 2(x + -2) + 30 Reorder the terms: -4 + 7x = 2(-2 + x) + 30 -4 + 7x = (-2 * 2 + x * 2) + 30 -4 + 7x = (-4 + 2x) + 30 Reorder the terms: -4 + 7x = -4 + 30 + 2x Combine like terms: -4 + 30 = 26 -4 + 7x = 26 + 2x Solving -4 + 7x = 26 + 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. -4 + 7x + -2x = 26 + 2x + -2x Combine like terms: 7x + -2x = 5x -4 + 5x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 5x = 26 + 0 -4 + 5x = 26 Add '4' to each side of the equation. -4 + 4 + 5x = 26 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 26 + 4 5x = 26 + 4 Combine like terms: 26 + 4 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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