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Simplifying 4x + 7(-3x + -4) = -42 + -3x Reorder the terms: 4x + 7(-4 + -3x) = -42 + -3x 4x + (-4 * 7 + -3x * 7) = -42 + -3x 4x + (-28 + -21x) = -42 + -3x Reorder the terms: -28 + 4x + -21x = -42 + -3x Combine like terms: 4x + -21x = -17x -28 + -17x = -42 + -3x Solving -28 + -17x = -42 + -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. -28 + -17x + 3x = -42 + -3x + 3x Combine like terms: -17x + 3x = -14x -28 + -14x = -42 + -3x + 3x Combine like terms: -3x + 3x = 0 -28 + -14x = -42 + 0 -28 + -14x = -42 Add '28' to each side of the equation. -28 + 28 + -14x = -42 + 28 Combine like terms: -28 + 28 = 0 0 + -14x = -42 + 28 -14x = -42 + 28 Combine like terms: -42 + 28 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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