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Simplifying 5(3x + -6) + 2(x + -4) = 0 Reorder the terms: 5(-6 + 3x) + 2(x + -4) = 0 (-6 * 5 + 3x * 5) + 2(x + -4) = 0 (-30 + 15x) + 2(x + -4) = 0 Reorder the terms: -30 + 15x + 2(-4 + x) = 0 -30 + 15x + (-4 * 2 + x * 2) = 0 -30 + 15x + (-8 + 2x) = 0 Reorder the terms: -30 + -8 + 15x + 2x = 0 Combine like terms: -30 + -8 = -38 -38 + 15x + 2x = 0 Combine like terms: 15x + 2x = 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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