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Simplifying -3(x + 5) + 6 = 7(x + 4) + 7 Reorder the terms: -3(5 + x) + 6 = 7(x + 4) + 7 (5 * -3 + x * -3) + 6 = 7(x + 4) + 7 (-15 + -3x) + 6 = 7(x + 4) + 7 Reorder the terms: -15 + 6 + -3x = 7(x + 4) + 7 Combine like terms: -15 + 6 = -9 -9 + -3x = 7(x + 4) + 7 Reorder the terms: -9 + -3x = 7(4 + x) + 7 -9 + -3x = (4 * 7 + x * 7) + 7 -9 + -3x = (28 + 7x) + 7 Reorder the terms: -9 + -3x = 28 + 7 + 7x Combine like terms: 28 + 7 = 35 -9 + -3x = 35 + 7x Solving -9 + -3x = 35 + 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. -9 + -3x + -7x = 35 + 7x + -7x Combine like terms: -3x + -7x = -10x -9 + -10x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -10x = 35 + 0 -9 + -10x = 35 Add '9' to each side of the equation. -9 + 9 + -10x = 35 + 9 Combine like terms: -9 + 9 = 0 0 + -10x = 35 + 9 -10x = 35 + 9 Combine like terms: 35 + 9 = 44 -10x = 44 Divide each side by '-10'. x = -4.4 Simplifying x = -4.4
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