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Simplifying 2x + 7(-3x + -4) = -45 + -2x Reorder the terms: 2x + 7(-4 + -3x) = -45 + -2x 2x + (-4 * 7 + -3x * 7) = -45 + -2x 2x + (-28 + -21x) = -45 + -2x Reorder the terms: -28 + 2x + -21x = -45 + -2x Combine like terms: 2x + -21x = -19x -28 + -19x = -45 + -2x Solving -28 + -19x = -45 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -28 + -19x + 2x = -45 + -2x + 2x Combine like terms: -19x + 2x = -17x -28 + -17x = -45 + -2x + 2x Combine like terms: -2x + 2x = 0 -28 + -17x = -45 + 0 -28 + -17x = -45 Add '28' to each side of the equation. -28 + 28 + -17x = -45 + 28 Combine like terms: -28 + 28 = 0 0 + -17x = -45 + 28 -17x = -45 + 28 Combine like terms: -45 + 28 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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