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Simplifying 2(x + 5) = 4x + -7(x + 3) Reorder the terms: 2(5 + x) = 4x + -7(x + 3) (5 * 2 + x * 2) = 4x + -7(x + 3) (10 + 2x) = 4x + -7(x + 3) Reorder the terms: 10 + 2x = 4x + -7(3 + x) 10 + 2x = 4x + (3 * -7 + x * -7) 10 + 2x = 4x + (-21 + -7x) Reorder the terms: 10 + 2x = -21 + 4x + -7x Combine like terms: 4x + -7x = -3x 10 + 2x = -21 + -3x Solving 10 + 2x = -21 + -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. 10 + 2x + 3x = -21 + -3x + 3x Combine like terms: 2x + 3x = 5x 10 + 5x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 5x = -21 + 0 10 + 5x = -21 Add '-10' to each side of the equation. 10 + -10 + 5x = -21 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -21 + -10 5x = -21 + -10 Combine like terms: -21 + -10 = -31 5x = -31 Divide each side by '5'. x = -6.2 Simplifying x = -6.2
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