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Simplifying 7x + 5(-3x + -4) = -21 + -7x Reorder the terms: 7x + 5(-4 + -3x) = -21 + -7x 7x + (-4 * 5 + -3x * 5) = -21 + -7x 7x + (-20 + -15x) = -21 + -7x Reorder the terms: -20 + 7x + -15x = -21 + -7x Combine like terms: 7x + -15x = -8x -20 + -8x = -21 + -7x Solving -20 + -8x = -21 + -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. -20 + -8x + 7x = -21 + -7x + 7x Combine like terms: -8x + 7x = -1x -20 + -1x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + -1x = -21 + 0 -20 + -1x = -21 Add '20' to each side of the equation. -20 + 20 + -1x = -21 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = -21 + 20 -1x = -21 + 20 Combine like terms: -21 + 20 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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