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Simplifying -7(2x + -4) + -7 = 3(x + -5) + 4x + -9 Reorder the terms: -7(-4 + 2x) + -7 = 3(x + -5) + 4x + -9 (-4 * -7 + 2x * -7) + -7 = 3(x + -5) + 4x + -9 (28 + -14x) + -7 = 3(x + -5) + 4x + -9 Reorder the terms: 28 + -7 + -14x = 3(x + -5) + 4x + -9 Combine like terms: 28 + -7 = 21 21 + -14x = 3(x + -5) + 4x + -9 Reorder the terms: 21 + -14x = 3(-5 + x) + 4x + -9 21 + -14x = (-5 * 3 + x * 3) + 4x + -9 21 + -14x = (-15 + 3x) + 4x + -9 Reorder the terms: 21 + -14x = -15 + -9 + 3x + 4x Combine like terms: -15 + -9 = -24 21 + -14x = -24 + 3x + 4x Combine like terms: 3x + 4x = 7x 21 + -14x = -24 + 7x Solving 21 + -14x = -24 + 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. 21 + -14x + -7x = -24 + 7x + -7x Combine like terms: -14x + -7x = -21x 21 + -21x = -24 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -21x = -24 + 0 21 + -21x = -24 Add '-21' to each side of the equation. 21 + -21 + -21x = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -21x = -24 + -21 -21x = -24 + -21 Combine like terms: -24 + -21 = -45 -21x = -45 Divide each side by '-21'. x = 2.142857143 Simplifying x = 2.142857143
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