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Simplifying 4(x + -1) = 7(x + 3) Reorder the terms: 4(-1 + x) = 7(x + 3) (-1 * 4 + x * 4) = 7(x + 3) (-4 + 4x) = 7(x + 3) Reorder the terms: -4 + 4x = 7(3 + x) -4 + 4x = (3 * 7 + x * 7) -4 + 4x = (21 + 7x) Solving -4 + 4x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 4x + -7x = 21 + 7x + -7x Combine like terms: 4x + -7x = -3x -4 + -3x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -3x = 21 + 0 -4 + -3x = 21 Add '4' to each side of the equation. -4 + 4 + -3x = 21 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 21 + 4 -3x = 21 + 4 Combine like terms: 21 + 4 = 25 -3x = 25 Divide each side by '-3'. x = -8.333333333 Simplifying x = -8.333333333
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