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Simplifying 7(x + -3) = 4(x + -2) Reorder the terms: 7(-3 + x) = 4(x + -2) (-3 * 7 + x * 7) = 4(x + -2) (-21 + 7x) = 4(x + -2) Reorder the terms: -21 + 7x = 4(-2 + x) -21 + 7x = (-2 * 4 + x * 4) -21 + 7x = (-8 + 4x) Solving -21 + 7x = -8 + 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. -21 + 7x + -4x = -8 + 4x + -4x Combine like terms: 7x + -4x = 3x -21 + 3x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 3x = -8 + 0 -21 + 3x = -8 Add '21' to each side of the equation. -21 + 21 + 3x = -8 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = -8 + 21 3x = -8 + 21 Combine like terms: -8 + 21 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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