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Simplifying 3x + 2 + 3 = 7(x + -1) + -4 Reorder the terms: 2 + 3 + 3x = 7(x + -1) + -4 Combine like terms: 2 + 3 = 5 5 + 3x = 7(x + -1) + -4 Reorder the terms: 5 + 3x = 7(-1 + x) + -4 5 + 3x = (-1 * 7 + x * 7) + -4 5 + 3x = (-7 + 7x) + -4 Reorder the terms: 5 + 3x = -7 + -4 + 7x Combine like terms: -7 + -4 = -11 5 + 3x = -11 + 7x Solving 5 + 3x = -11 + 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. 5 + 3x + -7x = -11 + 7x + -7x Combine like terms: 3x + -7x = -4x 5 + -4x = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -4x = -11 + 0 5 + -4x = -11 Add '-5' to each side of the equation. 5 + -5 + -4x = -11 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -11 + -5 -4x = -11 + -5 Combine like terms: -11 + -5 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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