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Simplifying 7(2x + -4) + -1(10 + -3x) = 0 Reorder the terms: 7(-4 + 2x) + -1(10 + -3x) = 0 (-4 * 7 + 2x * 7) + -1(10 + -3x) = 0 (-28 + 14x) + -1(10 + -3x) = 0 -28 + 14x + (10 * -1 + -3x * -1) = 0 -28 + 14x + (-10 + 3x) = 0 Reorder the terms: -28 + -10 + 14x + 3x = 0 Combine like terms: -28 + -10 = -38 -38 + 14x + 3x = 0 Combine like terms: 14x + 3x = 17x -38 + 17x = 0 Solving -38 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 17x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 17x = 0 + 38 17x = 0 + 38 Combine like terms: 0 + 38 = 38 17x = 38 Divide each side by '17'. x = 2.235294118 Simplifying x = 2.235294118
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