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Simplifying 2x + 3 + -4(x + 1) = 5x + 2 Reorder the terms: 2x + 3 + -4(1 + x) = 5x + 2 2x + 3 + (1 * -4 + x * -4) = 5x + 2 2x + 3 + (-4 + -4x) = 5x + 2 Reorder the terms: 3 + -4 + 2x + -4x = 5x + 2 Combine like terms: 3 + -4 = -1 -1 + 2x + -4x = 5x + 2 Combine like terms: 2x + -4x = -2x -1 + -2x = 5x + 2 Reorder the terms: -1 + -2x = 2 + 5x Solving -1 + -2x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + -2x + -5x = 2 + 5x + -5x Combine like terms: -2x + -5x = -7x -1 + -7x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -7x = 2 + 0 -1 + -7x = 2 Add '1' to each side of the equation. -1 + 1 + -7x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 2 + 1 -7x = 2 + 1 Combine like terms: 2 + 1 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286
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