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Simplifying 2x + 6 + -7(x + 1) = 4x + 3 Reorder the terms: 2x + 6 + -7(1 + x) = 4x + 3 2x + 6 + (1 * -7 + x * -7) = 4x + 3 2x + 6 + (-7 + -7x) = 4x + 3 Reorder the terms: 6 + -7 + 2x + -7x = 4x + 3 Combine like terms: 6 + -7 = -1 -1 + 2x + -7x = 4x + 3 Combine like terms: 2x + -7x = -5x -1 + -5x = 4x + 3 Reorder the terms: -1 + -5x = 3 + 4x Solving -1 + -5x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + -5x + -4x = 3 + 4x + -4x Combine like terms: -5x + -4x = -9x -1 + -9x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -9x = 3 + 0 -1 + -9x = 3 Add '1' to each side of the equation. -1 + 1 + -9x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 3 + 1 -9x = 3 + 1 Combine like terms: 3 + 1 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444
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