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Simplifying 7(x + -3) + 4 = 33 + 3(x + -2) Reorder the terms: 7(-3 + x) + 4 = 33 + 3(x + -2) (-3 * 7 + x * 7) + 4 = 33 + 3(x + -2) (-21 + 7x) + 4 = 33 + 3(x + -2) Reorder the terms: -21 + 4 + 7x = 33 + 3(x + -2) Combine like terms: -21 + 4 = -17 -17 + 7x = 33 + 3(x + -2) Reorder the terms: -17 + 7x = 33 + 3(-2 + x) -17 + 7x = 33 + (-2 * 3 + x * 3) -17 + 7x = 33 + (-6 + 3x) Combine like terms: 33 + -6 = 27 -17 + 7x = 27 + 3x Solving -17 + 7x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -17 + 7x + -3x = 27 + 3x + -3x Combine like terms: 7x + -3x = 4x -17 + 4x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 4x = 27 + 0 -17 + 4x = 27 Add '17' to each side of the equation. -17 + 17 + 4x = 27 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = 27 + 17 4x = 27 + 17 Combine like terms: 27 + 17 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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