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Simplifying 5 + -3(x + 7) = x + 2(3x + 7) Reorder the terms: 5 + -3(7 + x) = x + 2(3x + 7) 5 + (7 * -3 + x * -3) = x + 2(3x + 7) 5 + (-21 + -3x) = x + 2(3x + 7) Combine like terms: 5 + -21 = -16 -16 + -3x = x + 2(3x + 7) Reorder the terms: -16 + -3x = x + 2(7 + 3x) -16 + -3x = x + (7 * 2 + 3x * 2) -16 + -3x = x + (14 + 6x) Reorder the terms: -16 + -3x = 14 + x + 6x Combine like terms: x + 6x = 7x -16 + -3x = 14 + 7x Solving -16 + -3x = 14 + 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. -16 + -3x + -7x = 14 + 7x + -7x Combine like terms: -3x + -7x = -10x -16 + -10x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + -10x = 14 + 0 -16 + -10x = 14 Add '16' to each side of the equation. -16 + 16 + -10x = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -10x = 14 + 16 -10x = 14 + 16 Combine like terms: 14 + 16 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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