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Simplifying 7(x + -4) + -5 = 21x + -187 Reorder the terms: 7(-4 + x) + -5 = 21x + -187 (-4 * 7 + x * 7) + -5 = 21x + -187 (-28 + 7x) + -5 = 21x + -187 Reorder the terms: -28 + -5 + 7x = 21x + -187 Combine like terms: -28 + -5 = -33 -33 + 7x = 21x + -187 Reorder the terms: -33 + 7x = -187 + 21x Solving -33 + 7x = -187 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -33 + 7x + -21x = -187 + 21x + -21x Combine like terms: 7x + -21x = -14x -33 + -14x = -187 + 21x + -21x Combine like terms: 21x + -21x = 0 -33 + -14x = -187 + 0 -33 + -14x = -187 Add '33' to each side of the equation. -33 + 33 + -14x = -187 + 33 Combine like terms: -33 + 33 = 0 0 + -14x = -187 + 33 -14x = -187 + 33 Combine like terms: -187 + 33 = -154 -14x = -154 Divide each side by '-14'. x = 11 Simplifying x = 11
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