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Simplifying -3(x + 3) + 3 = 7(x + 2) + 1 Reorder the terms: -3(3 + x) + 3 = 7(x + 2) + 1 (3 * -3 + x * -3) + 3 = 7(x + 2) + 1 (-9 + -3x) + 3 = 7(x + 2) + 1 Reorder the terms: -9 + 3 + -3x = 7(x + 2) + 1 Combine like terms: -9 + 3 = -6 -6 + -3x = 7(x + 2) + 1 Reorder the terms: -6 + -3x = 7(2 + x) + 1 -6 + -3x = (2 * 7 + x * 7) + 1 -6 + -3x = (14 + 7x) + 1 Reorder the terms: -6 + -3x = 14 + 1 + 7x Combine like terms: 14 + 1 = 15 -6 + -3x = 15 + 7x Solving -6 + -3x = 15 + 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. -6 + -3x + -7x = 15 + 7x + -7x Combine like terms: -3x + -7x = -10x -6 + -10x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -10x = 15 + 0 -6 + -10x = 15 Add '6' to each side of the equation. -6 + 6 + -10x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 15 + 6 -10x = 15 + 6 Combine like terms: 15 + 6 = 21 -10x = 21 Divide each side by '-10'. x = -2.1 Simplifying x = -2.1
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