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Simplifying 5(2x + 1) + -3(x + 4) = -21 Reorder the terms: 5(1 + 2x) + -3(x + 4) = -21 (1 * 5 + 2x * 5) + -3(x + 4) = -21 (5 + 10x) + -3(x + 4) = -21 Reorder the terms: 5 + 10x + -3(4 + x) = -21 5 + 10x + (4 * -3 + x * -3) = -21 5 + 10x + (-12 + -3x) = -21 Reorder the terms: 5 + -12 + 10x + -3x = -21 Combine like terms: 5 + -12 = -7 -7 + 10x + -3x = -21 Combine like terms: 10x + -3x = 7x -7 + 7x = -21 Solving -7 + 7x = -21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 7x = -21 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = -21 + 7 7x = -21 + 7 Combine like terms: -21 + 7 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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