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Simplifying -3(x + 3) + 3 = 7(x + 5) + 8 Reorder the terms: -3(3 + x) + 3 = 7(x + 5) + 8 (3 * -3 + x * -3) + 3 = 7(x + 5) + 8 (-9 + -3x) + 3 = 7(x + 5) + 8 Reorder the terms: -9 + 3 + -3x = 7(x + 5) + 8 Combine like terms: -9 + 3 = -6 -6 + -3x = 7(x + 5) + 8 Reorder the terms: -6 + -3x = 7(5 + x) + 8 -6 + -3x = (5 * 7 + x * 7) + 8 -6 + -3x = (35 + 7x) + 8 Reorder the terms: -6 + -3x = 35 + 8 + 7x Combine like terms: 35 + 8 = 43 -6 + -3x = 43 + 7x Solving -6 + -3x = 43 + 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 = 43 + 7x + -7x Combine like terms: -3x + -7x = -10x -6 + -10x = 43 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -10x = 43 + 0 -6 + -10x = 43 Add '6' to each side of the equation. -6 + 6 + -10x = 43 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 43 + 6 -10x = 43 + 6 Combine like terms: 43 + 6 = 49 -10x = 49 Divide each side by '-10'. x = -4.9 Simplifying x = -4.9
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