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Simplifying 4 + -7(x + 1) = -5(x + 3) + x Reorder the terms: 4 + -7(1 + x) = -5(x + 3) + x 4 + (1 * -7 + x * -7) = -5(x + 3) + x 4 + (-7 + -7x) = -5(x + 3) + x Combine like terms: 4 + -7 = -3 -3 + -7x = -5(x + 3) + x Reorder the terms: -3 + -7x = -5(3 + x) + x -3 + -7x = (3 * -5 + x * -5) + x -3 + -7x = (-15 + -5x) + x Combine like terms: -5x + x = -4x -3 + -7x = -15 + -4x Solving -3 + -7x = -15 + -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. -3 + -7x + 4x = -15 + -4x + 4x Combine like terms: -7x + 4x = -3x -3 + -3x = -15 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + -3x = -15 + 0 -3 + -3x = -15 Add '3' to each side of the equation. -3 + 3 + -3x = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -15 + 3 -3x = -15 + 3 Combine like terms: -15 + 3 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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