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